Suppose that a and b are odd integers with a b. Show there

Chapter 8, Problem 17E

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QUESTION:

Suppose that a and b are odd integers with a ? b. Show there is a unique integer c such that |a ? c| = |b ? c|.

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QUESTION:

Suppose that a and b are odd integers with a ? b. Show there is a unique integer c such that |a ? c| = |b ? c|.

ANSWER:

Solution:Step-1: In this problem we need to show that there is a unique integer c such that |a -c| = |b -c|. Given : a and b are odd integers with . NOTE: F(x) = |x| is called the “ Absolute value function”. |x| = x , if

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