Select the correct inequality for the graph below: a. y -2x + 2 b. y ≥ -2x + 2 c.

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. 

 the answer is D. y≤ -2x + 2

take x=2
then (-2 x 2) + 2
⇒ -4 + 2 = -2

Symmetry at the y-axis means that the distance of one point from the y-axis in the positive direction is equal to the distance of a point from the y-axis in the negative direction.
Distance of x-intercept from y-axis = 6
Distance of other intercept = -6.
Value of other intercept: (-6 , 0)