Question

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graph the inequality.
$y+x>3$
○ a)

Explanation:

Step1: Rewrite inequality to slope-intercept form

Rearrange $y+x>3$ to isolate $y$:
$y > -x + 3$

Step2: Identify boundary line

The boundary is $y=-x+3$, a dashed line (because inequality is $>$ not $\geq$).

Step3: Test a point for shading

Use $(0,0)$: $0 > -0 + 3$ → $0>3$, which is false. So shade the region not containing $(0,0)$ (above/right of the line).

Step4: Match to option A

Option A has a dashed line for $y=-x+3$ and shades the correct region (opposite of $(0,0)$).

Answer:

A) [The graph with dashed line $y=-x+3$ and shaded region above/right of the line]