# 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 6E
To determine

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

Expert Solution

S={1,2,2,4}

### Explanation of Solution

Given:

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

Inequality,

2x1x

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

For x=2 ,

2x1x2(2)1241252

-5 is not greater than or equal to -2 so x=2 does not satisfy the inequality

For x=1 ,

2x1x2(1)1131141

-4 is not greater than or equal to -1 So, x=1 does not satisfy the inequality

For x=0

2x102(0)1001010

-1 is not greater than or equal to 0 So , x=0 does not satisfy the inequality

For x=12

2x1x2(12)1121112012

0 is not greater than or equal to x=12 So, x=12 doesnot satisfy the inequality

For x=1

2x1x2(1)1121111

1 is equals to 1 so, x=1 satisfies the inequality

For x=2

2x1x2(2)122(1.41)11.412.8211.411.821.41

1.82 is greater than 1.41 So, x=2 satisfies the inequality

For x=2

2x1x2(2)1241232

3 is greater than 2 So, x=2 satisfies the inequality

For x=4

2x1x2(4)1481472

7 is smaller than 2 So x=4 satisfies the inequality

Conclusion:

Hence the values of S which satisfies the inequality are 1,2,2,4

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