Question

How do you solve and graph `4x+5>25`?

Answer 1

Simplify it until there's only `x` and a constant (which in this case gets us `x > 5`), then shade the area that satisfies the inequality.

Explanation:

First, let's simplify `4x + 5 > 25`.

We could subtract `5` from both sides:

`4x + 5 - 5 > 25 - 5`

`4x > 20`

Then divide each side by `4`:

`(4x)/4 > 20/4`

`x > 5`

Time to graph! Usually, I'd draw a regular graph first (in this case, `x = 5`), as if it were an equal sign:

And then, I'd have a look at the simplified inequality. It says `x > 5`; `x` is more than `5`, so I'd shade the entire area that's more than `5`, which is to the right of the line.