Question

Question #ad414

Answer 1

`xge-9`

Explanation:

Let's start by turning this word problem into something easier to understand.

We will have `2`; it will be multiplied by some number plus `4`.
We can write this as:
`2(x+4)`

This product ( `2(x+4)` ) is "no more than," (`le`) `3` times that same number, added to `7`. That will then have `4` subtracted from it.
We can write this as:
`3(x+7)-4`

Here's our equation:

`2(x+4)le3(x+7)-4`

Multiply everything out and solve:

`2x+8le3x+21-4`

`2x+8le3x+17`

`2xle3x+9`

`-xle9`

`xge-9`

This last step is important: remember to flip the direction the inequality faces when dividing by a negative number!