Question

choose the correct inequality for this graph.
y ≤ -1
y < -1
x ≤ -1
x < -1

Explanation:

Step1: Identify boundary line

The graph has a horizontal solid line at $y=-1$. A solid line means the inequality includes equality ($\leq$ or $\geq$).

Step2: Identify shaded region

The area below the line is shaded, so $y$ is less than or equal to $-1$.

Step3: Match to option

This corresponds to the inequality $y \leq -1$.

Answer:

$\boldsymbol{y \leq -1}$