Which statement is true about the graph of y < 2x + 3?

The symbol $<$ is a strict inequality, so points on the line itself are not included, and the boundary is dashed. A solid line is used only with $\leq$ or $\geq$. To test the origin, substitute $(0,0)$: is $0 < 2(0) + 3 = 3$? Yes, so $(0,0)$ is a solution, and the shaded region is the side that contains the origin. That makes A correct. Choices B and D claim a solid line, which is wrong for a strict inequality. Choice C has the correct dashed line but claims $(0,0)$ is not a solution, which fails the test.