Which of the following could be the inequality illustrated in the sketch graph below?
MATHEMATICS
WAEC 1995
Which of the following could be the inequality illustrated in the sketch graph below?
- A. y≥2x+3
- B. y≤-3x+3
- C. y< 3x+2
- D. y≤x +3
Correct Answer: B. y≤-3x+3
Explanation
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.
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