Question

choose the correct inequality for this graph. $y>2x - 3$; $ygeq2x - 3$; $yleq2x - 3$; $y<2x - 3$

Explanation:

Step1: Identify boundary line

The graph has a dashed line, so the inequality uses $<$ or $>$. The line follows $y=2x-3$.

Step2: Test a point for shading

Pick the origin $(0,0)$: substitute into $y=2x-3$, we get $0 > -3$. The origin is not in the shaded region, so we reverse the inequality: $y < 2x-3$.

Answer:

$y < 2x - 3$