You are confused #4

Number Theory Level 2

Suppose $\frac{a + b}{c + d} >1 .$ The statement $a + b > c + d$ is true ...

Always Sometimes Never

1 solution

Blan Morrison
Sep 8, 2018

Define $a+b=x$ and $c+d=y$ .

Case 1: $x=2, y=1$ : $\frac{2}{1}>1; 2>1$ True

This eliminates the answer, "No."

Case 2: $x=-2, y=-1$ : $\frac{-2}{-1}>1; -2\not>1$ False

Therefore, the answer is Sometimes .