Question

solve the inequality $x + 5 \geq -2$.
$x \geq -7$
graph the solution set of the inequality.
(number line from -10 to 10 with tick marks at each integer, and options for open/closed circles and arrows)

Explanation:

Step1: Solve the inequality

Subtract 5 from both sides: $x + 5 - 5 \geq -2 - 5$ → $x \geq -7$

Step2: Graph the solution

The inequality $x \geq -7$ means all numbers ≥ -7. On the number line, mark a closed dot at -7 (since ≥ includes -7) and draw an arrow to the right.

Answer:

The solution to the inequality is $x \geq -7$. For the graph: a closed dot at -7 on the number line with an arrow pointing to the right.