Question

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

Answer 1

The solution of the inequality is `-9 >= x`.

Explanation:

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

`-7 >= 2 + x`
`-7 - 2 >= 2 - 2 + x`
`-9 >= 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]}