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Chapter 1: Q. 27 (page 107)

Use algebra to find the largest possible value of 未 or smallest possible value of N that makes each implication true. Then verify and support your answers with labeled graphs.

Ifx>N, then1x2鈭�0<0.001

Short Answer

Expert verified

N=31.62

Step by step solution

01

Step1. Given information.

We have been given:

Ifx>N, then1x2鈭�0<0.001

We have to use algebra to find the largest possible value of 未 or smallest possible value of N that makes each implication true.

02

Step 2. Find the value of N.

We have 1x2鈭�0<0.001.

So we can write:

1x2鈭�0<0.0011x2<0.001x2>10.001|x|>1000

Since x>N

N=1000鈮�31.62

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