# How do you solve and graph the solution of -7>=2+x?

Nov 5, 2016

The solution of the inequality is $- 9 \ge x$.

#### Explanation:

Solve the inequality by using inverse operations to isolate $x$.

$- 7 \ge 2 + x$
$- 7 - 2 \ge 2 - 2 + x$
$- 9 \ge x$

If this is part of an assignment covering Linear Inequalities in One Variable, it will be graphed on a number line. There will be a closed dot at $- 9$, and the number line would be shaded to the left of $- 9$. However if this is part of an assignment covering Linear Inequalities in Two Variables, it is graphed on a coordinate plane as shown below.
graph{-9 >= x [-10, 10, -5, 5]}