BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 1.7, Problem 9E
To determine

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

Expert Solution

Answer to Problem 9E

  S={2,1,0,2,4}

Explanation of Solution

Given:

  S={2,1,0,12,1,2,2,4}

Inequality,

  1x12

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

For x=2 ,

  1x1212121212

  12 is smaller than 12 so x=2 satisfies the inequality

For x=1 ,

  1x121112112

-1 is smaller than 12 So, x=1 satisfies the inequality

For x=0

  1x12101212

   is always greater than 12 So , x=0 satisfies the inequality

For x=12

  1x1211212212

2 is not smaller than 12 So, x=12 does not satisfy the inequality

For x=1

  1x121112112

1 is not smaller than 12 so, x=1 does not satisfies the inequality

For x=2

  1x12121211.41120.712

0.7 is not smaller than 12 So, x=2 does not satisfies the inequality

For x=2

  1x121212

  12 is equals to 12 So, x=2 satisfies the inequality

For x=4

  1x121412

  14 is smaller than 12 So x=4 satisfies the inequality

Conclusion:

Hence the values of S which satisfies the inequality are 2,1,0,2,4

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