the answer is D. y≤ -2x + 2
take x=2 then (-2 x 2) + 2 ⇒ -4 + 2 = -2
The line is solid , so you know it could be equal to, so it is not A or C.
The shaded area is below the line, so it is less than or equal.
So the answer is D. y ≤ − 2 x + 2
The correct inequality option is D. y ≤ -2x + 2, assuming the line is solid and the shading is below the line on the graph. This represents all the points where y is less than or equal to the value of -2x + 2. If the shading was above the line, the answers would differ accordingly.
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