Answer:
y < -3/2x-2
Explanation:
Since the line is a dotted line it represents either a < or a > inequality. A solid line will represent either a ≤ or a ≥ inequality
So eliminate the second and third choices
To find out whether > or <, just choose a convenient point in the shaded region and see whether plugging it into the expression the left side results in a > or <
A great point to choose is x= -2, y = 0 (-2, 0) which is clearly inside the shaded region. Since y = 0, we have one less computation to worry about which is why I chose that point
Plug it into the expression
-3/2 x -2
=> (-3/2) (-2) - 2
=> 3 - 2 = 1
Since we had y = 0, check if 0 > 1 or 0 < 1
Since y (at x = -2 ) = 0 which is less than -3/2x -2 =1 at x = -2 this is a < inequality
Answer y < -3/2x-2