Weren't there some answer choices from which to choose?
You can answer this question without those choices, however. Solve the given inequality 4x + 2y ≤ 6 for y:
x + (2/4)y ≤ 6/4, or
x + (1/2)y ≤ 3/2 subtract x from both sides
-x -x
-----------------------
(1/2)y ≤ -x + 3/2,
or y ≤ -2x + 3
Graph the str line y = -2x + 3, using a solid like (due to the "less than or
equal to" symbol)
This line has y-intercept (0,3) and slope m = -2. Plot (0,3) and thru it draw a straight line with slope m = -2 (it will slope downward as you move to the right).
Now shade (darken) the region BELOW this line (due to the "less than or
equal to" symbol)
