Question

How do you solve and graph `g+6<2`?

Answer 1

`g<-4`

Explanation:

Simply subtract `6` from each side like an equation. Although this is an inequality, treat it as an equation first. In other words now it looks like:

`g+6=2`

Now subtract `6`:

`g=-4`

Now instead of the equal sign, substitute the less than symbol back in to make it an inequality again.

On a graph, it would look something like this:

This means anything less that `-4` will satisfy this inequality. Let's take `-8` for example:

First, substitute it in for `g`:

`-8+6<2`

`-8+6=-2`

Now insert the other side of the inequality:

`-2<2`

Is this true? Yes! `-2` is less than `2`. Therefore this number checks out.

Answer: `g=-4`