Question states:

w>1

A) 7w-4

B) 2w+5

my thought process:

since w is greater than 1, try w=2.

7(2) - 4 = 10

2(2)+5 = 9

Ok, so far it seems like A is greater, lets try w=3:

7(3) - 4 = 21-4 = 17

2(3) + 5 = 14

So, I have two cases where A is greater, but the text is saying that the answer should be D because the book i’m using (GRE Quant Reasoning Vol 1) states set the problem up as:

7w-4 ? 2w + 5

-2w -2w

5w - 4 ? + 5

5w + 9

w = 9/5 which is 1.8 as a decimal which also proves that w>1.

The text states that D should be the correct answer. Can anyone explain why?

Thank you,

Dhruv