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Chapter 3: Q. 29 (page 151)

Solve the inequality. Graph your solution.

-5s-84鈮�-22

Short Answer

Expert verified

Solution of the inequality is s鈮�16.

Step by step solution

01

Step 1. Solve the inequality

-5s-84鈮�-22

Multiply both sides by 4.

鈭�5s鈭�84脳4鈮�鈭�22脳4鈭�5s鈭�8鈮�鈭�88

Add 8 on both sides.

鈭�5s鈭�8+8鈮�鈭�88+8鈭�5s鈮�鈭�80

Divide both sides by -5.

s鈮�鈭�80鈭�5s鈮�16

02

Step 2. Graph the inequality

The solution of the inequality is s鈮�16.

That means, all values s鈮�16 satisfy the inequality. So, the graph can be given as shown below.

03

Step 3. Check the solution

To check the solution, take any random number, s鈮�16 and substitute in the original inequality and observe the result.

Take x=1.

Then,

鈭�5脳0鈭�84鈮�鈭�220鈭�84鈮�鈭�22鈭�84鈮�鈭�22鈭�2鈮�鈭�22

The result -2鈮�-22 is true. So, the solution s鈮�16 is correct.

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