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 10E
To determine

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

Expert Solution

Answer to Problem 10E

  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

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!