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512 36r + 36 Use interval notation to represent the four separate intervals where will be non-zero: 12 21 - 24~00= .-4)UType "inf' and ~inf" for 00 a...

Question

512 36r + 36 Use interval notation to represent the four separate intervals where will be non-zero: 12 21 - 24~00= .-4)UType "inf' and ~inf" for 00 and 00 respectively: Type the capital letter "U" to represent the union symbol U_Test each interval Solve inequalities by interpreting your results You may receive full credit for this problem by giving the correct answer here. (The steps above are provided to assist you with the process of finding the correct final answer:)5

512 36r + 36 Use interval notation to represent the four separate intervals where will be non-zero: 12 21 - 24 ~00= .-4)U Type "inf' and ~inf" for 00 and 00 respectively: Type the capital letter "U" to represent the union symbol U_ Test each interval Solve inequalities by interpreting your results You may receive full credit for this problem by giving the correct answer here. (The steps above are provided to assist you with the process of finding the correct final answer:) 522 36x + 36 22 2x 24 0 on the interval(s): ~0O_ 4)u Type "inf"' and "-inf" for O and respectively: Type the capital letter "U" to represent the union symbol U.



Answers

Use a table utility to aid in the solution of the inequality on the given interval. $x^{4}-x^{3}-16 x^{2}+4 x+48<0, \quad[-3.5,5]$

Okay, so we want to go after falling. So we have to with brackets. So including two were going off to infinity. So that's to our rights. So we can write this us to is less than or equal to X, which is less than or equal to infinity.

Using our properties for absolute value inequalities. We can rewrite this as saying X Plus six is going to have to be between negative 0.1 and positive 0.1 to get the X by itself, we're going to subtract six. So that's going to give me negative 6.1 less than X, less than negative 5.999 So you write this using interval notation. I don't have equals, so it's going to be parentheses. Native 6.12 Negative 5.999 and there is your interval notation answer.

Okay, so we want to go after falling. So we want to start on negative. Six include negative six. And that's auto opportunity. What? Half. So that's right here. Okay, so this is when they get a six, that's less than or equal to X, which is less than or equal to a negative 1/2.

So I'm gonna use the property of absolute value inequalities related toe less than or equal to, which means that two X minus three is going to have to be between negative point for and positive point. For now, I just need to solve this inequality by adding three every place out on the ends as well to keep the balance equal. A negative 0.4 plus three is 2.6, less than or equal to two x, less than or equal to 3.4. Divide everything by two to divide by two, and that gives me 1.3 Debris lessen her equal to X less than or equal to 1.7. So my interval is the numbers between 1.3 and 1.7, with those included.


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