Question

How do you solve `7-2/3x<x-8`?

Answer 1

`x>9`

Explanation:

Usually the goal of solving any inequality or equality is to isolate a variable.

In this case we add `2x/3` to both sides to get:

`7<(5/3)x-8`

Then we add 8 on both sides to get:

`15<(5/3)x`

Now we divide by `5/3` on both sides to express the possible values of `x` in terms of a constant. We check to see if `5/3` is greater than `0`. It is, so we can divide it on both sides without having to switch signs.

`x>9`