Answer: B
Explanation:
First, let's take the point of the origin so (0,0).
Let's substitute it back into the equations:
0 is x, 0 is y
A: 0> -1 true
B: 0 ≥ -1 also true
C: 0 < -1 not true
D: 0 ≤ -1 not true
So now, for C and D the region containing the (0,0) is the unwanted region (shaded) because the inequality is not true.
However, the graph has the side with point (0,0) unshaded.
So we know that the answer is A or B.
In linear programming signs <> are expressed as dotted lines and ≤≥ as unbroken lines.
The graph has an unbroken line so answer B is correct as it has the sign ≥ (representing an unbroken line) and satisfies the inequality.