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 8E
To determine

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

Expert Solution

Answer to Problem 8E

  S={2,2,4}

Explanation of Solution

Given:

  S={2,1,0,12,1,2,2,4}

Inequality,

  23x<2

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

For x=2 ,

  23x<223(2)<223+2<225<2

5 is greater than -2 but not smaller than 2 so x=2 does not satisfy the inequality

For x=1 ,

  23x<223(1)<223+1<224<2

4 is greater than -2 but not smaller than 2 So, x=1 does not satisfy the inequality

For x=0

  23x<223(0)<223<2

3 is greater than -2 but not smaller than 2 So , x=0 does not satisfy the inequality

For x=12

  23x<22312<2252<222.5<2

2.5 is greater than -2 but not smaller than 2 So, x=12 does not satisfy the inequality

For x=1

  23x<2231<222<2

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

For x=2

  23x<2232<2231.41<221.59<2

1.59 is greater than -2 and smaller than 2 So, x=2 satisfies the inequality

For x=2

  23x<2232<221<2

1 is greater than -2 and smaller than 2 So, x=2 satisfies the inequality

For x=4

  23x<2234<221<2

-1 is greater than -2 and smaller than 2 So x=4 satisfies the inequality

Conclusion:

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

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