Question

Classify the following as sometimes, always, or never.
If a < b, then a/c < b/c.
A. sometimes
B. always
C. never

Answer 1

Sometimes...
Case one, if a, b and c are all positive number
a<b
a/c < b/c -> true
Case 2, if a, b are both positive number but c is a negative number
a<b
a/c > b/c -> not true

Answer 2

For case 2, remember you need to change the sign when divided by a negative number.