Question

which inequality matches the picture shown?
y ≥ x
y > x
y ≤ x
y < x

Explanation:

Step1: Identify boundary line

The line is $y=x$, solid (includes equality).

Step2: Test a shaded point

Take $(0,1)$: $1 \geq 0$ is true.

Step3: Match to inequality

Shaded region satisfies $y \geq x$.

Answer:

A. $y \geq x$