# To Check: The given values of S are satisfy the inequality or not.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.7, Problem 5E
To determine

## To Check: The given values of S are satisfy the inequality or not.

Expert Solution

S={2,2,4}

### Explanation of Solution

Given:

S={2,1,0,12,1,2,2,4}

Inequality,

32x12

Calculation, Let’s check for each value of S whether it satisfies the inequality or not,

For x=2 ,

32(2)123+412712

7 is not smaller than or equal to 12 , so x=2 does not satisfy the inequality

For x=1 ,

32(1)123+212512

5 is not smaller than or equal to 12 So, it does not satisfy the inequality

For x=0

32(0)123012312

3 is not smaller than or equal to 12 So, it does not satisfy the inequality

For x=12

32(12)123112212

2 is not smaller than or equal to x=12 So, it doesnot satisfy the inequality

For x=2

32(2)1232(1.41)1232.82120.1812

0.18 is smaller than 12 So, it satisfies the inequality

For x=2

32(2)123412112

-1 is smaller than 12 So, it satisfies the inequality

For x=4

32(4)123812512

-5 is smaller than 12 So it satisfies the inequality

Conclusion:

Hence, the values of S which satisfies the inequality are 2,2,4

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