Question 431528
Suppose {{{a > b}}}, and {{{n > 0}}}. From {{{a > b}}} we obtain {{{a - b > 0}}}. We can subtract {{{a-b}}} from both sides to get {{{0 > -(a-b)}}} --> {{{0 > -a + b}}} --> {{{-b > -a}}}. Finally, we can scale both sides by the same positive number {{{n}}} to get {{{-bn > -an}}}.