If $a\ge b$ and $c0$, then $ca\ge cb$ and $\frac{a}{c}\ge \frac{b}{c}$. If $a\ge b$ an

Question

If $a\ge b$ and $c>0$, then $ca\ge cb$ and $\frac{a}{c}\ge \frac{b}{c}$. If $a\ge b$ and $c<0$, then $ca\le cb$ and $\frac{a}{c}\le \frac{b}{c}$.

Accepted Answer

Positive multiplier or divisor: preserve the inequality direction. Negative multiplier or divisor: reverse the inequality direction.

Properties of Multiplying and Dividing Both Sides with a Number