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Solve the compound inequality and notation: graph the solution~14 <-31+4 < -5(-0,3]U[6,0)(3,6]J0 " "No solution[3,6)Kh...

Question

Solve the compound inequality and notation: graph the solution~14 <-31+4 < -5(-0,3]U[6,0)(3,6]J0 " "No solution[3,6)Kh

Solve the compound inequality and notation: graph the solution ~14 <-31+4 < -5 (-0,3]U[6,0) (3,6] J0 " " No solution [3,6) Kh



Answers

Solve each compound inequality. Graph the solutions.
$15 x>30$ and $18 x<-36$

Nothing. So the one who sold his compound equations So we have on the left hand side that X is good, then negative. 24 or six. Therefore, X is greater than are equal to, um negative for and on the right hand side. We have X. It's less than 54. I did by night. So you have X is less then, um, it's a Ford by by 96. Okay. And so we can combine this to rewrite them to get that Sze betweennegative four and positive six and I will graph. No, look, something like this. Yeah. Four. It's 202 And, uh, so six. Okay, um, here we have the four being molded and the six is open. Um, so any number including six I'm including you ended it for and not included. Six. It's a solution forthis as a

The company quality here is going by on end. So we have the function in the middle one minus y z is, uh let's see. Gray is less than are equal to 36 and one minus. Phi Z is greater than negative. Tell you what, So guess so for Z, and we move the one to the other side. So we have Native Fight Z is less than or equal to, um 36 minus one is 35. Divide both sides by negative five. So divided by a negative number changes the inequality s o. We have negative. 35. Divided by 57 Good. Something is better than or equal to negative. Seven. Sam, my dear. Here we moved the one to the other side. So we have negative five. Easy is greater than like this 22. We divide both sides by a negative five. So we change the direction of inequality. So we have less, then sort these last 10 negative 20 to divide by 5.5, which would be less positive. 20 to 5. Okay, so why did you turn into a five? Um is equal to four 0.4. Okay, so, uh, we have here that you see Z is greater than negative seven. And these less than 4.4. Okay. So you can grab this seven. That's he died. I, uh, go to zero and they have to for Okay, so we wanted to be between on open. So cool here. And Z is equal to so because the circle there she betweennegative seven and for that's all

We have given a cushion X is greater than three or exes greater than six, and we need to write when it was already each compound inequalities. And we need to use graph to solves the solution set off each other to giving inequalities as well as third graf. That's was the solution state of the component equalities. So first we need to right here graph for this that we need to write graph for this. Then the final solution will appears and we need to draw a graph for that. That final solution. So first wield door we get off. Our X is greater than three so we can write. It's enough like it will be a straight line. And here exit greater than three so minimal with three. Then it will be full before you 67 and many more so we can diet this one as no. We need to draw a graph for another one. So for graph, off X is greater than six. We need to write graph like this here we know that extra greater than six so we can write a minimum Double bass six and gilded in sex six. That means it maybe eight it may be. Then it may be 12. It maybe 14 16 18. So begin sorted by on by an adult also. So we can write this no mess. So this is a graph for X is better than sex. No way we can have a graph for the solution. Here. We can simply see that X is greater than C six is the similar term for the boat. So this will be solution and solution Number line for a solution began, Right? This one as number line for solution solution that is exit gooder than six. The number line will be for this. The number line will be like just in the sterling. It will be same as before. X is greater than six of 806. Neat then too Well, 14 16 18 like this begins. So this one by an arrow also. So this is how a solution and began, right? This one as here we can simply write this one as as we know that X is okay gooder than three or X is girdle and six so solution will read it. And as three three will be minimum point and it will be Go strain finite. So? So this is a notation or we can write this one as next. Lorne X is good entry.

Okay, So you're gonna try to get the absolute value by itself. So we move the commute to the other side by subtracting often seen ministry store eso This can write this inequality. We can write the absolute value us. Honey, it's off and profits off today. You know, that's what values sign. And this is, uh, something us three X minus six. Better than made it tough and three x minus six. Less than five minutes off because 04 eggs. So you have three x is greater than negative. It's off six switches. Negative. Six. So X is greater than negative too. And similarly, here we have three X. It's less than 18 so x is less than six. Okay, so we have first we can do. I kiss us ex being less than six less than I'm glad that negative too and I will laugh would be say, zero. I needed to say this is positive. Six. So any number not including the endpoints native two and six. But between move of them is a solution for this inequality that so


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