Question

Which value of m makes the statement true? 92-2m ≤7+3m

A) 12
B) 17
C) 7
D) 9

Answer 1

`\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{(5m)/(5)\ge (85)/(5)}`

Simplify

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

- Mordancy

Answer 2

The answer is 17 or B