Question

Question #04520

Answer 1

`x<5`

Explanation:

We must first isolate the variable. This means we simply do the following steps:

Add `8` to both sides of the inequality:

`5x<25` (I got `25` by combining `17+8` together).

Now simply divide by `5`:

`x<5`

This means that anything less than five is an acceptable answer to this inequality. See below for directions on how to graph it: graph{x<5 [-10, 10, -5, 5]}

As you can see, it's a vertical line. Let's test our theory out. Let's take 0 for example.

`0<5` This checks out since `0` is less than `5`.

`5(0)-8<17` This becomes `-8<17`. This checks out because -8 is less than 17.

Answer: `x<5`