How do you solve and graph x + 5 ≤ 10?

Jul 21, 2018

$x \le 5$

Explanation:

$x + 5 \le 10$

To solve this, subtract $\textcolor{b l u e}{5}$ from both sides of the inequality:
$x + 5 \quad \textcolor{b l u e}{- \quad 5} \le 10 \quad \textcolor{b l u e}{- \quad 5}$

$x \le 5$

This can be said as "$x$ is less than or equal to $5$."

Here's a graph of it on a number line:

(mathwarehouse.com)

The open circle on $5$ means that $5$ is one of the solutions (and anything less than it).

Hope this helps!