Question

Which of the following is the correct solution to the linear inequality shown below?

Answer 1

Correct answer is C.

Line $y=\frac{1}{3}x-2$ intersects y-axis at -2 and passes through the point (3,-1).

Line must be dashed, because the inequality sign is ">".

Point (0,0) must lie in the solution set because it satisfies inequality $y>\frac{1}{3}x-2$.

$0\ \textgreater \ \frac{1}{3}\times 0-2 \\ \\0\ \textgreater \ -2$