Question

vo-variable linear equations - part 1
which graph represents the inequality $y < -1 + 2x$?

Explanation:

Step1: Identify boundary line

Rewrite inequality as $y=2x-1$. Since the inequality is $<$ (not $\leq$), the line is dashed.

Step2: Determine shading direction

Test a point not on the line, e.g., $(0,0)$:
$0 < -1 + 2(0) \implies 0 < -1$, which is false. So shade the region not containing $(0,0)$, i.e., below the dashed line.

Answer:

The graph with a dashed line for $y=2x-1$ and shading below the line (not shown fully in the provided image, but the correct graph will have these two features)