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

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Provide proof or a counter example.

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Answer 1 · 2018-07-24T02:15:51

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

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