Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

In each of the following exercises, solve the given inequality.$$x^{2}-9 \leq 7$$

$$-4 \leq x \leq 4$$

Algebra

Chapter 0

Reviewing the Basics

Section 5

Solving Non-Linear Inequalities

Equations and Inequalities

Missouri State University

McMaster University

Harvey Mudd College

Idaho State University

Lectures

07:30

In each of the following e…

03:12

02:51

02:25

02:49

03:18

03:47

01:38

In Problems $7-22,$ solve …

02:43

Solve each inequality.…

01:35

01:22

For the following exercise…

All right, we've got a question here. X squared minus nine is less than or equal to seven. And we want to solve inequality. Start off by subtracting seven from both sides so that we're gonna have a zero on the other side and we'll factor. This house will have the X minus four X plus four his license, which is zero. And then you will have our X minus four second, equal to zero have been solved for two X values. And we'll get X a secret for an exit quickly. Negative, for it will take a number of line will go from negative infinity and negative. Excuse the negative energy in infinity before here we have are negative for here. Then we want to get our points. Then we would just want to solve each region and see whether or not that solves inequality. So, for let's pick a number between four. And five and he was a big 55 minus four. We're gonna plug in five for X. We're gonna solve, So we'll get one time. Nine. It goes to nine. That's a positive value. We know that a positive value will not be less than equal to zero. Therefore, this is not satisfied. Bigger value from negative foreign before with the big zero. So your minus four you will plus four equal to negative 16 that is less than equal to zero. Therefore, this region is in fact satisfied. Now let's pick a region from there. Let's pick a value from negative form in the negative infinity with big negative five so you'll end up getting negative. Nine multiplied by a negative one, which is a positive nine. That region satisfied your final answer will. The X is greater than or equal to negative four. And when it's less than or equal to four, and here is when you're inequality will be satisfied. All right, well, I hope that clarifies the question there. Thank you so much for watching.

View More Answers From This Book

Find Another Textbook

Oregon State University

Numerade Educator

01:18

Determine if the given set is a function.$f=\{(1,3),(2,5),(12,23),(-1,9)…

02:23

Solve each of the quadratics by first completing the square. When the roots …

02:00

Find the unknown.$$(2 r-3)^{2}-24=0$$

Plot the lines found in Exercise $2$.

02:47

Plot the lines found in Exercise $8$.

01:09

In each of the following, solve the given quadratic equation exactly using t…

02:12

03:22

Find the unknown.$$\frac{1}{5}(3 x-5)^{2}+\frac{2}{3}=2$$

05:43

In each of the following exercises, solve the given inequality.$$6 x^{2}…

01:17

Rewrite the equation in the form $a x^{2}+b x+c=0,$ with $a > 0,$ and the…