Which of the following could be the inequality illustrated in the sketch graph above?
A.
y≥2x+3
B.
y≤-3x+3
C.
y < 3x+2
D.
y≤x +3
E.
y≥3x+2.
Correct answer is B
Gradient of the line = \(\frac{3 - 0}{0 - 1}\)
= -3
y = -3x + b.
Using (1,0), we have
0 = -3(1) + b
0 = -3 + b
b = 3
y = -3x + 3
\(\therefore\) The graph illustrates y \(\leq\) -3x + 3.