For real numbers,a,b, and,c determine whether each statement is TRUE or FALSE (circle). If FALSE, justify with an explanation.

Question

If a<b, and I divide both side by a non-zero number c, then a/c < b/c

True? or False?

Answer 1

If c is positive, it is TRUE. If c is negative, it is FALSE because the inequality gets reversed when you divide by or multiply by a negative number.