Question

which inequality has the solution set shown in the graph?
options: ( y leq 1 ), ( y < 1 ), ( y > 1 ), ( y geq 1 )

Explanation:

1. First, identify the boundary line: it is a solid horizontal line at $y=1$. A solid line means the inequality includes equality ($\leq$ or $\geq$).
2. Next, identify the shaded region: the area above the line $y=1$ is shaded, which means all points where the $y$-value is greater than or equal to 1 satisfy the inequality.

Answer:

E. $y \geq 1$