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Chapter 1: Q. 28 (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, then1鈭�2x<鈭�500

Short Answer

Expert verified

We get N=250.5

Step by step solution

01

Step1. Given information.

We have been given:

Ifx>N, then1鈭�2x<鈭�500

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 1鈭�2x<鈭�500.

So we can write:

1鈭�2x<鈭�500鈭�2x<鈭�500鈭�1鈭�2x<鈭�5012x>501x>5012x>250.5

Since x>N,

N=250.5

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