Question

choose the correct inequality for this graph.
$x\geq -2$
$y\geq -2$
$x > -2$
$y > -2$

Explanation:

Step1: Identify boundary line

The graph has a horizontal solid line at $y=-2$. A solid line means the inequality includes equality ($\geq$ or $\leq$).

Step2: Identify shaded region

The area above the line (where $y$ values are greater than -2) is shaded, so the inequality is $y \geq -2$.

Answer:

$\boldsymbol{y \geq -2}$