Question

Solve the inequality. –8m < –24

Answer 1

$Solution, -8m3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(3,\:\infty \:\right)\end{bmatrix}$

$Steps:$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)},\left(-8m\right)\left(-1\right)>\left(-24\right)\left(-1\right)$

$\mathrm{Simplify}, 8m>24$

$\mathrm{Divide\:both\:sides\:by\:}8, \frac{8m}{8}>\frac{24}{8}$

$\mathrm{Simplify}, m>3$

The correct answer is $m>3$

Hope this helps!!!

Answer 2

Answer: M>3

Explanation:
Step 1.) Divide -8 on both sides
Step 2.) Flip the less than sign because you are diving by a negative.
Step 3.) -24 divided by -8 is a positive 3.
Step 4.) Since the -8 has been cancelled out on the left side, you are left with M>3.