Question

Which value of m makes the statement true? 92-2m ≤7+3m A) 12 B) 17 C) 7 D) 9

Answer 1

The answer is 17 or B

Answer 2

Answer:

$\boxed{\bold{17}}$

Step By Step Explanation:

Subtract 92 From Both Sides

$\bold{92-2m-92\le \:7+3m-92}$

Simplify

$\bold{-2m\le \:3m-85}$

Subtract 3m From Both Sides

$\bold{-2m-3m\le \:3m-85-3m}$

Simplify

$\bold{-5m\le \:-85}$

Multiply Both Sides By -1 (Reverse Inequality)

$\bold{\left(-5m\right)\left(-1\right)\ge \left(-85\right)\left(-1\right)}$

Simplify

$\bold{5m\ge \:85}$

Divide Both Sides By 5

$\bold{\frac{5m}{5}\ge \frac{85}{5}}$

Simplify

$\bold{m\ge \:17}$

- Mordancy