Question

Solve the inequality. –8m < –24

Answer 1

`Solution, -8m<-24\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>3\:\\ \:\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, (8m)/(8)>(24)/(8)`

`\mathrm{Simplify}, m>3`

The correct answer is
`m>3`

Hope this helps!!!

Answer 2

Answer: M>3

Step-by-step 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.