Respuesta :

ruthwalker574
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.
austint1414

[tex]Solution, -8m<-24\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(3,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]Steps:[/tex]

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

[tex]\mathrm{Simplify}, 8m>24[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}8, \frac{8m}{8}>\frac{24}{8}[/tex]

[tex]\mathrm{Simplify}, m>3[/tex]

The correct answer is [tex]m>3[/tex]

Hope this helps!!!

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