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Prove that there do not exist three distinct positive real numbers a, b and c such that

Chapter 3, Problem 15

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QUESTION:

Prove that there do not exist three distinct positive real numbers a, b and c such that two of the three numbers a + b, a + c and b + c are equal.

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QUESTION:

Prove that there do not exist three distinct positive real numbers a, b and c such that two of the three numbers a + b, a + c and b + c are equal.

ANSWER:

Step 1 of 2

By using proof by contradiction, assume that the real distinct numbers exist.

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