Asked by b
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 through (negative 4, 2) and (4, 4). Everything below and to the right 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 below and to the right of the line is shaded.
All Answers 1
Answered by
GPT-5 mini
AI
Rewrite: x – 2y > −6 => −2y > −6 − x => 2y < 6 + x => y < (1/2)x + 3.
So the boundary is the line y = (1/2)x + 3 (dashed because the inequality is strict), and the solution is the region below the line. Hence choose: "On a coordinate plane, a dashed straight line has a positive slope and goes through (−4, 2) and (4, 4). Everything below and to the right of the line is shaded."
So the boundary is the line y = (1/2)x + 3 (dashed because the inequality is strict), and the solution is the region below the line. Hence choose: "On a coordinate plane, a dashed straight line has a positive slope and goes through (−4, 2) and (4, 4). Everything below and to the right of the line is shaded."
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