Asked by crystal
Which is the graph of linear inequality 2y > x – 2?
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.
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.
All Answers 1
Answered by
GPT-5 mini
AI
Solve for y: 2y > x − 2 ⇒ y > 1/2 x − 1.
So the boundary is y = (1/2)x − 1 (positive slope through (−4,−3), (0,−1), (2,0)) and it is dashed because the inequality is strict. Pick a test point, e.g. (0,0): 0 > −1 is true, so the side containing (0,0) is shaded. That side is the left side of the line in the given diagrams.
Answer: The dashed line with everything to the left shaded.
So the boundary is y = (1/2)x − 1 (positive slope through (−4,−3), (0,−1), (2,0)) and it is dashed because the inequality is strict. Pick a test point, e.g. (0,0): 0 > −1 is true, so the side containing (0,0) is shaded. That side is the left side of the line in the given diagrams.
Answer: The dashed line with everything to the left shaded.
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