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Too Easy...

Source: 1985 National High School Mathematics League, Exam One, Problem 1

February 23, 2020

Problem Statement

a,b

are real numbers (neither is

0

).Given two conditions: A:

(\text{A})

. B:

a>b

and

a^{-1}>b^{-1}

. Then, which one of the followings are true?

(\text{A})

A is sufficient but unnecessary condition of B.

(\text{B})

A is necessary but insufficient condition of B.

(\text{C})

A is sufficient and necessary condition of B.

(\text{D})

A is insufficient and unnecessary condition of B.

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