Which statement MUST be true given that a is positive and b, c, and d are all positive integers, and a < 1 < b < c < d.

A) 1/a > b

B) b - d > c - d

C) c + 1/a < d + 1/a

D) a > 1/d

E) c < a

macabresubwoofer Nov 6, 2019

#1**+2 **

c < d

Since a is positive, then 1/a is also positive

Add 1/a to both sides

c + 1/a < d + 1/a

CPhill Nov 6, 2019

#2**+1 **

Plug in numbers for a, b, c, and d and see which statement will always be true. If you add the same amount to two numbers one of which is smaller than the other they will maintain the same relationship. Therefore, c + 1/a < d + 1/a is true.

macabresubwoofer
Nov 6, 2019