Question

Which inequality is true for all values of n where n < −3?
A
n + 5 < −6
B
n + 5 > 3
C
n + 5 < −1
D
n + 5 < 3

Answer 1

D

Reason: If n < −3 then adding 5 gives n + 5 < 2, and 2 < 3, so n + 5 < 3 for all such n. (Other choices fail: e.g. n = −4 gives n+5 = 1, contradicting A and C; B is impossible.)