# How do you solve 3m ≤ 9?

Aug 26, 2015

$m \le 3$

#### Explanation:

Given an inequality, the following operations can be performed on both sides of the inequality without effecting the orientation or validity of the inequality:

• Add or subtract the same amount to/from both sides;
• Multiply or divide by the same amount provided that amount is greater than 0 on both sides.

Therefore, given $3 m \le 9$
we can divide both sides by $3$ and the inequality remains valid:

$\textcolor{w h i t e}{\text{XXXX}} \frac{3 m}{3} \le \frac{9}{3}$

rarrcolor(white)("XX) m <= 3