For positive real numbers a and b, it can be shown that (a + b) 1a + 1b 4. If a = b

Chapter 5, Problem 5.7

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For positive real numbers a and b, it can be shown that (a + b) 1a + 1b 4. If a = b, then this inequality isan equality. Consider the following statement:If a and b are positive real numbers such that (a + b) 1a + 1b= 4, then a = b.Is there a counterexample to this statement?

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