# 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 7E
To determine

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

Expert Solution

S={4}

### Explanation of Solution

Given:

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

Inequality,

1<2x47

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

For x=2 ,

1<2x471<2(2)471<4471<87

-8 is not greater than 1 but smaller than 7 so x=2 does not satisfy the complete inequality

For x=1 ,

1<2x471<2(1)471<2471<67

-6 is not greater than 1 but smaller than 7 So, x=1 does not satisfy the complete inequality

For x=0

1<2x471<2(0)471<0471<47

-4 is not greater than 1 but smaller than 7 So , x=0 does not satisfy the complete inequality

For x=12

1<2x471<2(12)471<1471<37

-3 is not greater than 1 but smaller than 7 So, x=12 does not satisfy the complete inequality

For x=1

1<2x471<2(1)471<2471<27

-2is not greater than 1 but smaller than 7 so x=1 does not satisfies the inequality

For x=2

1<2x471<2(2)471<2(1.41)471<2.82471<1.187

-1.18 is not greater than 1 but smaller than 7 So, x=2 does not satisfies the inequality

For x=2

1<2x471<2(2)471<4471<07

0 is not greater than 1 but smaller than 7 So, x=2 does not satisfies the inequality

For x=4

1<2x471<2(4)471<8471<47

4 is greater than 1 and smaller than 7 So x=4 satisfies the inequality

Conclusion:

Hence the values of S which satisfies the inequality is4

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