Question

choose the correct inequality for this graph.
$y \geq 2x - 3$
$y < 2x - 3$
$y \leq 2x - 3$
$y > 2x - 3$

Explanation:

Step1: Identify line equation

The dashed line has slope $2$ and y-intercept $-3$, so its equation is $y=2x-3$. A dashed line means the inequality does not include equality ($
eq$, $<$, $>$).

Step2: Test a point for shading

Test the origin $(0,0)$: Substitute into $y > 2x-3$: $0 > 2(0)-3 \Rightarrow 0 > -3$, which is true. The graph's shaded region includes the origin, so the inequality is $y > 2x-3$.

Answer:

$y > 2x - 3$