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Let a and b be real numbers. Prove that min(a, b) + max(a, b) = a + b (see Exercise 27)

Chapter 3, Problem 28

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QUESTION:

Let a and b be real numbers. Prove that min(a, b) + max(a, b) = a + b (see Exercise 27).

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QUESTION:

Let a and b be real numbers. Prove that min(a, b) + max(a, b) = a + b (see Exercise 27).

ANSWER:

Step 1 of 4

Given that

     1.  : denotes the smaller number among  and .

     2.  : denotes the larger number among  and .

     3.  =, if and only if =.

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