Question

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

Explanation:

Step1: Identify boundary line

The line shown is $y=x$, a dashed line (so inequality is strict, no equal sign).

Step2: Test a point in shaded area

Pick $(0,1)$: $1 > 0$, which fits $y > x$.

Step3: Match to options

The strict inequality matching the shaded region is $y > x$.

Answer:

$y > x$