5

Cougtuc trut table for the followng statement ~[P ~ (~Q]LP AF9...

Question

Cougtuc trut table for the followng statement ~[P ~ (~Q]LP AF9

Cougtuc trut table for the followng statement ~[P ~ (~Q] LP AF9



Answers

Construct a truth table for each compound statement. $$\sim p \vee(q \wedge \sim r)$$

We're making a truth table for the complex compound. Statement P and knock you or not are now I've said it my truth table this specific way because it helps me think of each logical step. So over here I have my basics. P Q and R. Now remember, over here this is to set up every possible scenario for P. Q and R. I notice that there's a pattern. I have four where p is true and then forward p is false. After that, I have two truths to false Is two truths to false is for Q and then true false. True, false true calls Truthful, sir, are thus giving us every possible combination for P Q and R. Then I have mitigations, not Q and not our. Well, I know that on one side of my eventual statement, I have not cute or not off. So my next column is that and then at the end, have my final, the final goal that I'm searching for. So let's start with allegations now. Not que is where we take the opposite of whatever Que is my 1st 2 accuser truths. So here, my first to not use will be false. I had two False is next. So my next to will be to truce than to false is and to truce Now I have not are well our is true false true falls True, false, true, false. So over here will be the opposite False, true, false, true, false, true and false. True, Because remember, I'm making the opposite of whatever our waas. Now I'm looking at the or situation for not Q and not our. This means I'm gonna be looking at not que and are and figure out if this overall statement is true now for yours all I need is one True for the overall statement to be true so not cute could be true or not Are could be true or both could be true in order for me to label the whole statement as true So let's go row by row If I have a false and false This is now false My next one I've a false into true However one true is all I need True and a false one True's all I need true and true course gives me true And I have a false and false again that gives me a false false into true. That's all I need is one true, true false again One true and true and true gives me true Overall. Now, for my last column I'm gonna be looking at P just over here. And remember, this is and the truth value have given in this call truth value of not you for not our overall. Now, because this isn't an statement, both my original columns must be true for me to label this complex statement as true. So, for example, I p is true over here, But I have a false over here. So that means overall this is false for my next one have a true and a true So this is true and I have a true and a true So this is true, true and true So this is true now my next four for P is false. That's all I need to know to label my final four rows as false because only need is one false toe label this compound statement as false overall. So there you have it. Here is your final completed truth table for this very complex statement

Okay, so we're asked to find at your table of the following statement. So let's start with what's inside our apprentices to have a column. API. We'll be right that you and I will. Let's right, the negation of cute. So that's false, True apples and true. And now we'll take the by conditional between these two green columns. So we have false, true, true and false. Okay, now let's work with our waterfront sees. So we want the negation of P. That's false falls true and true. Thank you. Want to be right? That And now let's find the disjunction between these two. So that's true, false, true and true. And now we'll finally find or buy conditional and our solution between our two loopholes. So that is, with false balls, true and false.

For number 42. We're told to find the constructed truth table for the compound statement. He or uh, not Q and R. So here we have, uh, four statements. P que, not Q and R. So column is gonna be 16 are truly it was gonna be 16 rows because we are The number of rows is equal to the number of statements, er to the power of the number of statements. So to the power of four, which is 16. So we will have P uh que not Q Are our conditional statement, not Q and R unless their overall conditional statement he or not, Q and R. Okay, this one is gonna be a pretty long one. So we'll start with P, which is just gonna be split into half and half for our truth and true and false. So we will have a truce. I'll try to write these, uh, 678 on eight. False is 45678 And now we could be it again with our Q. So this is pretty simple for for truth, we could have, uh, for identical, true, true, for true false and the same in reverse is gonna be true for our false is we could have Ah uh huh For false true's and for false false. Now we move to not Q which is just going to invert Whatever we have for Q in this case are for truth. Up here will become for false is and our for false will become for true's. And then we will repeat because the not just in votes whatever the original statement, waas and then we have our okay which can relate Thio are related just related directly to are not que because the same relating it to queue but in different points So we could have for two of our false is up here we could have true and then false And then for our next four we could have two true's and to false for our next for the same thing and the same thing for our ah, Final Four So now we can take all this information we've got Ah, 16 possible combinations here and we can now relate it to, uh cue not que and are which required true in both columns for this call them to be true so we could start going through, we can see our first one on Lee on the always true, only always to again. They're both follow My bed is supposed to be false is we have to False is here here that the next two they're both false. And then for our next set they're both true. Then it's after that they both false. Then we had it down to a next to we've got to false is Ah, two more false is that they're both false again to true's and then two more false is so you see, the number of truce is getting much smaller here. Here we only have 22 truths here and to choose down here at the bottom. So lastly for last possible for last combined statement, which is the overall will be relating. Our values in are not Q and R column with our values in the P column and this was an all relationships are only one of these contests. Abati has had the true for the overall to be true. So for our first, we have a true and a false which would be true. Second is the same. Food is the same fourth of the same fifth. They both have. True. Sixth is the same as well. Ah, Next the a little bit. 123456123456 So we're at seven here. What is true? And then eight, where there is also true and then nine they both happen to be false here. So that's our first false can they both false is well, 11 they're both falls 12. They're both falls. Uh, uh. 13 Here they are. True, because not Q and r is true. And between always, same for 14 15. They're both falls and 16. They're both falls. So you see here we've got since we're doing an or value here, we've got mostly truce. But this is our full ah completed truth table for the compound statement P or not, Q and R box itself In green, there's a much larger is very large truth table. Ah, hopefully you'll be doing this on line or graph paper. So your columns and rows will be much neater than minor than mine are

You're making a truth table for the compound statement, not P and not cute. In order to begin this truth table, we'll need a column for P and a column for Q, and we will then need columns that negate P and the Gate que Let's begin with P and cute. We could have P being true and cue being true. P being true and cubing false P being false and cubing, true or P being false and cubing false. We will now negate p. That means take the opposite of it So far. First, to hear p was true. That means for the negation of P, they will be false. For our first to our 2nd 2 peas, Pea was false. That means for not P they will be true. Now we'll do the same thing for not cute. We have true for the 1st 1 which means not Q will be false way falls for the 2nd 1 which means knock you will be true. This pattern follows for the next two. No, we're going to consider these two columns that we just made, not P and not que when we look at our final compound statement not p and not cute in order for not P and not cute to be considered true. Overall, both components must be true. In our first scenario, though, we have false and false. That means overall this is false. For a second scenario, not P is false and not Q is true because we have one falsehood. Overall, it is false for 1/3 scenario, not P is true, but not Cuba's false. Which means overall, this is false. For a very last scenario, we have true and true, which means overall not P and not Q is true.


Similar Solved Questions

5 answers
Fexis #heel is 30 melers in diameler and boarded from platfonn that is meters above the pround_ The six 0clock position = the ferris wheel level with the loading platform. The whcel completes full revolution in |0 minutes. The function fft) gives your height- meters above the Kround minutes nfler the whcel begins Write nn eqquation for fo.Preview
fexis #heel is 30 melers in diameler and boarded from platfonn that is meters above the pround_ The six 0clock position = the ferris wheel level with the loading platform. The whcel completes full revolution in |0 minutes. The function fft) gives your height- meters above the Kround minutes nfler th...
5 answers
Determine whether the function is a linear transformation. T: R2 _ R3 , Tlx , Y) = (6x2 , 4xY , 6y2)
Determine whether the function is a linear transformation. T: R2 _ R3 , Tlx , Y) = (6x2 , 4xY , 6y2)...
5 answers
(Linear Algebra) Let W be the subspace of R4 spanned by the vectors: a1 (0,1,-2,1), a2 (-1,3,1,2) , a3 (1,3,1,-3)
(Linear Algebra) Let W be the subspace of R4 spanned by the vectors: a1 (0,1,-2,1), a2 (-1,3,1,2) , a3 (1,3,1,-3)...
5 answers
2 2 2 Problem IV 2.3 the (10 the L points) PIX f(,y) conditional 1/2 density Suppose 3 expectation that 3/4] the given (6 joint E[X |Y for otherwise density 3/4] ie. function fxix(cly) and V < 1, and Y
2 2 2 Problem IV 2.3 the (10 the L points) PIX f(,y) conditional 1/2 density Suppose 3 expectation that 3/4] the given (6 joint E[X |Y for otherwise density 3/4] ie. function fxix(cly) and V < 1, and Y...
3 answers
O-merer urlty pole casts 17-mete shadov Jirzc-ky don 25.9codP nemvatoc cftne sur(ee -iqure|the arigEvaticngrounc {RcungnSwzdFmMaDiace
O-merer urlty pole casts 17-mete shadov Jirzc-ky don 25.9 codP nem vatoc cftne sur (ee -iqure| the arig Evaticn grounc {Rcung nSwz dFmMa Diace...
5 answers
Calculate thc pHat 25 C 0f244,0mL ofa buffer solution that i5 0 380 M NHClam0,380 NHabcforc and after the nddition 0f 2.60 mL 0f60m HNOj (ThcK for NHA" = 9,751Ist attemptPart 1 (1polnd)Ll See Pet lodlc Tabla 'Sco HintPH before =Pan% (1 polntipHalter =
Calculate thc pHat 25 C 0f244,0mL ofa buffer solution that i5 0 380 M NHClam0,380 NHabcforc and after the nddition 0f 2.60 mL 0f60m HNOj (ThcK for NHA" = 9,751 Ist attempt Part 1 (1polnd) Ll See Pet lodlc Tabla ' Sco Hint PH before = Pan% (1 polnti pHalter =...
5 answers
Find sin(a) and cos(B) tan(a) and cot(p), and sec(a) and csc(B)-sin(a) and cos( B)tan(a) and cot( B)sec(a) and csc( 8)
Find sin(a) and cos(B) tan(a) and cot(p), and sec(a) and csc(B)- sin(a) and cos( B) tan(a) and cot( B) sec(a) and csc( 8)...
5 answers
Of the many types of orofacial pain; which of the following would not be considered peripheral Pain?IntracraniakbjassMucosal ulcerationTMJ muscular painTooth abscess
Of the many types of orofacial pain; which of the following would not be considered peripheral Pain? Intracraniakbjass Mucosal ulceration TMJ muscular pain Tooth abscess...
5 answers
Question 5 (1 point) Determine the value of the displacement; Y, at the point x 3/6 m and t = 0.26,fr the following wave: v = (0.34 m) sin(3t/4 Anx)[Answer in m with 3 sig figs, but do not enter units with your answer]
Question 5 (1 point) Determine the value of the displacement; Y, at the point x 3/6 m and t = 0.26,fr the following wave: v = (0.34 m) sin(3t/4 Anx) [Answer in m with 3 sig figs, but do not enter units with your answer]...
5 answers
In order to determine whether or not there is significant difference between the hourly wages of two companies following data have been accumulated:CompanyACompanyBSample sizeSample mean56.7556.25Population standard deviation S1.0050.95Use the information listed here and answer the following questions:The test statistic is:b The p-valueAt a 5% signincance level, what's your conclusion:(Hint: you can answer should be rejected or not)
In order to determine whether or not there is significant difference between the hourly wages of two companies following data have been accumulated: CompanyA CompanyB Sample size Sample mean 56.75 56.25 Population standard deviation S1.00 50.95 Use the information listed here and answer the followin...
5 answers
A traveling electromagnetic wave in a vacuum has an electricfield amplitude of 72.5 V/m. Calculate the intensity 𝑆 of thiswave. Then, determine the amount of energy 𝑈 that flows througharea of 0.0259 m2 over an interval of 19.9 s, assuming that thearea is perpendicular to the direction of wave propagation.
A traveling electromagnetic wave in a vacuum has an electric field amplitude of 72.5 V/m. Calculate the intensity 𝑆 of this wave. Then, determine the amount of energy 𝑈 that flows through area of 0.0259 m2 over an interval of 19.9 s, assuming that the area is perpendicular to the di...
5 answers
Finding an Angle or side Use the Law of Sines to find the indicated side $x$ or angle $ heta .$
Finding an Angle or side Use the Law of Sines to find the indicated side $x$ or angle $\theta .$...
5 answers
How many mLof 0.451 M HI areneeded to dissolve 9.10 gof MgCO3?2HI(aq)+ MgCO3(s) MgI2(aq)+ H2O(l) + CO2(g) mL
How many mL of 0.451 M HI are needed to dissolve 9.10 g of MgCO3? 2HI(aq) + MgCO3(s) MgI2(aq) + H2O(l) + CO2(g) mL...
5 answers
The Ronnie Co. has sales per share of $25.55. If the PS ratio is1.64 times, what is the stock price?
The Ronnie Co. has sales per share of $25.55. If the PS ratio is 1.64 times, what is the stock price?...
5 answers
Irnn cntnnnncn unfua Gamnie Srra [eo4d @8lowve; ol trcad 44 qunrs ot m* L70 ct paunumz 4tzeWeiclcodtub scr Ilod 10zkcuri utjo' 7Sent An ci Doanut buttet and I50 [olnd? 0" cold cut_ Storo Illt0d*0 bavis %beed do eotnec (nraminae VOELle EA CLE Cncalemin Weatenmnaamarpjabbaelarn Intarnalion Ic tno Inrn alcoa Garam Citu:4iIT(krouiod by 1qhe Vore du Wet ranu @Ul EtoctWera mtt FD(6) During Ihe Icllowing wook, s0let Iuuu Diuducucn ^00136 Im 28
irnn cntnnnncn unfua Gamnie Srra [eo4d @8lowve; ol trcad 44 qunrs ot m* L70 ct paunumz 4tzeWeiclcodtub scr Ilod 10zkcuri utjo' 7Sent An ci Doanut buttet and I50 [olnd? 0" cold cut_ Storo Illt0d*0 bavis %beed do eotnec (nraminae VOELle EA CLE Cncalemin Weaten mnaam arpjabb aelarn Intarnalio...
5 answers
An arctic weather balloon is filled with 13.1 L of helium gas inside prep shed. The temperature inside the shed is 14. 'C. The balloon is then taken outside where the temperature is 12 'C. Calculate the new volume of the balloon.You may assume the pressure on the balloon stays constant at exactly atm Round your answer to 3 significant digits_
An arctic weather balloon is filled with 13.1 L of helium gas inside prep shed. The temperature inside the shed is 14. 'C. The balloon is then taken outside where the temperature is 12 'C. Calculate the new volume of the balloon. You may assume the pressure on the balloon stays constant at...
5 answers
1Choose the correct reagent(s) needed to perform the following transformation:ClOH
1 Choose the correct reagent(s) needed to perform the following transformation: Cl OH...
5 answers
Consider the two dimensional random variable (X Y) with joint probability density function given by S1y. 0 < I < 1,0 < y < 1; f(t,y) |o, otherwise Which of the following is/are true
Consider the two dimensional random variable (X Y) with joint probability density function given by S1y. 0 < I < 1,0 < y < 1; f(t,y) |o, otherwise Which of the following is/are true...

-- 0.061937--