Solve the System of Inequalities -3m<6 and 4m>24

Divide each term in ${\displaystyle -3m<6}$ by ${\displaystyle -3}$. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

${\displaystyle \frac{-3m}{-3}>\frac{6}{-3}}$ and ${\displaystyle 4m>24}$

Simplify the left side.

${\displaystyle m>\frac{6}{-3}}$ and ${\displaystyle 4m>24}$

Simplify the right side.

${\displaystyle m>-2}$ and ${\displaystyle 4m>24}$

Divide each term in ${\displaystyle 4m>24}$ by ${\displaystyle 4}$.

${\displaystyle m>-2}$ and ${\displaystyle \frac{4m}{4}>\frac{24}{4}}$

Simplify the left side.

${\displaystyle m>-2}$ and ${\displaystyle m>\frac{24}{4}}$

Simplify the right side.

${\displaystyle m>-2}$ and ${\displaystyle m>6}$