Question

Which is the graph of the linear inequality x – 2y > –6?

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 2) and (4, 4). Everything above and to the left of the line is shaded.

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, 2) and (4, 4). Everything above and to the left of the line is shaded.

On a coordinate plane, a solid straight line has a positive slope and goes thOn a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, 2) and (4, 4). Everything below and to the right of the line is shaded.rough (negative 4, 2) and (4, 4). Everything below and to the right of the line is shaded.

Answer 1

Rewrite: x − 2y > −6 ⇒ −2y > −6 − x ⇒ y < x/2 + 3. So the boundary is the line y = x/2 + 3 (positive slope) and it is dashed (strict inequality). The solution is the region below that line.

So choose the graph with a dashed line and everything below/to the right of the line shaded.