# 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 10E
To determine

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

Expert Solution

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

### Explanation of Solution

Given:

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

Inequality,

x2+2<4

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

For x=2 ,

x2+2<4(22)+2<44+2<46<4

6 is not smaller than 4 so x=2 does not satisfy the inequality

For x=1 ,

x2+2<4(12)+2<41+2<43<4

3 is smaller than 4 So, x=1 satisfy the inequality

For x=0

x2+2<4(02)+2<40+2<42<4

0 is smaller than 4 So , x=0 satisfy the inequality

For x=12

x2+2<4(12)2+2<414+2<494<4

94 is smaller than 4 So, x=12 satisfy the inequality

For x=1

x2+2<412+2<41+2<43<4

3 is smaller than 4 so, x=1 satisfies the inequality

For x=2

x2+2<4(2)2+2<42+2<44<4

4 is not smaller than 4 So, x=2 does not satisfies the inequality

For x=2

x2+2<422+2<44+2<46<4

6 is not smaller than 4 So, x=2 does not satisfies the inequality

For x=4

x2+2<442+2<416+2<418<4

18 is not smaller than 4 So x=4 does not satisfies the inequality

Conclusion:

Hence the values of S which satisfies the inequality are 2,1,0,12,1

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