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Which of the following could be the inequality illustrated in the sketch graph above?

Mathematics
WAEC 2025

Which of the following could be the inequality illustrated in the sketch graph above?

  • A. y ≤ -3x + 3
  • B. y ≤ 3x + 2
  • C. y ≥ -2x + 3
  • D. y ≤ x + 3
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Correct Answer: Option A
Explanation

The gradient of the line passing through points (0,3) and (1,0)

m = \(\frac{y_2 - y_1}{x_2 - x_1}\)

m = \(\frac{0 - 3}{1 - 0}\) = \(\frac{-3}{1}\) = - 3

Equation of this line ⇒ y = mx + c

y = -3x + 3;

since the line is solid; The equation represented by the graph is y ≤ -3x + 3


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