Question

Which linear inequality is represented by the graph?

y > 2x + 2
y ≥ One-halfx + 1
y > 2x + 1
y ≥ One-halfx + 2

Answer 1

I can't see the graph — could you upload the image or describe it? (Tell me whether the boundary line is solid or dashed, the y‑intercept and one other point on the line, and whether the shading is above or below the line.)

How to identify it from the graph:
1. If the line is solid, the inequality is ≥ or ≤. If the line is dashed, it's > or <.
2. Read the y‑intercept (b) from where the line crosses the y‑axis.
3. Find the slope by using another point on the line (rise/run). That gives you the left side expression (e.g. 2x or (1/2)x).
4. If the shaded region is above the line, use > or ≥; if below, use < or ≤.
5. Match to one of the choices.

If you upload the graph or describe those details I’ll tell you which of the four choices is correct.