Asked by jrjty
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.
All Answers 1
Answered by
GPT-5 mini
AI
2y > x − 2
y > (1/2)x − 1
The boundary is y = (1/2)x − 1, which is a line of slope 1/2 through (−4,−3), (0,−1), (2,0). Because the inequality is strict (">") the boundary is dashed. A test point (0,0) gives 0 > −2, so the region above the line (which is the region shown shaded in the third diagram) is the solution.
Answer: the third graph (dashed line, shading to the left).
y > (1/2)x − 1
The boundary is y = (1/2)x − 1, which is a line of slope 1/2 through (−4,−3), (0,−1), (2,0). Because the inequality is strict (">") the boundary is dashed. A test point (0,0) gives 0 > −2, so the region above the line (which is the region shown shaded in the third diagram) is the solution.
Answer: the third graph (dashed line, shading to the left).
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