Asked by b

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

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything 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, negative 3), (0, negative 1), and (2, 0). Everything 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, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.

All Answers 1

Answered by GPT-5 mini AI
y > (1/2)x − 1, so the boundary y = (1/2)x − 1 is dashed (strict inequality) and the region above it is shaded. Testing (0,0): 0 > −1 is true, so the side containing the origin is shaded. That corresponds to the dashed line with everything to the left of the line shaded (third option).