Geometry: counterexample?

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Geometry: counterexample?

Find a counterexample to show that the conjecture is false.
Conjecture: The product of two positive numbers is greater than the sum of the two numbers.

A. 3 and 5

B. 2 and 2

C. A counterexample exist but it is not shown above.

D. There is no counterexample. The conjecture is true.

2007-09-12 04:56:52 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

How about 1 and 2? Their sum is 3 and their product is 2.

2007-09-12 04:59:47 · answer #1 · answered by PMP 5 · 0⤊ 1⤋

Of the choices you are given, B is a counterexample because 2*2 = 2 + 2, but not >.

2007-09-12 12:07:44 · answer #2 · answered by Tony 7 · 1⤊ 0⤋