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

Dec 11, 2017

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 $4 x + 5 > 25$.

We could subtract $5$ from both sides:

$4 x + 5 - 5 > 25 - 5$

$4 x > 20$

Then divide each side by $4$:

$\frac{4 x}{4} > \frac{20}{4}$

$x > 5$

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.