Question

choose the correct inequality for this graph.\
$x\leq -1$\
$y\leq -1$\
$x < -1$\
$y < -1$

Explanation:

Step1: Identify boundary line

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

Step2: Identify shaded region

The shaded area is to the left of the line, representing all $x$-values less than or equal to $-1$.

Step3: Match to inequality

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

Answer:

$\boldsymbol{x \leq -1}$