If a, b and c are integers, and a < b, then ac < bc. Is the statement true or false?

Provide proof or a counter example.

1 Answer
Jul 24, 2018

a < b
atimes c < b times c
ac < bc
Statement is true

Explanation:

If a < b, and we want to prove whether or not ac < bc, then we should start out proof with what we know

We know that a< b

We then multiply both sides by c ie a times c < b times c

Results in ac < bc

Therefore, it is true for the statement ac < bc if and only if a,b and" c are integers