The shaded area in the diagram above is represented by

Mathematics

JAMB 2004

A. {(x,y) : y - 3x < -6}
B. {(x,y) : y + 3x < 6}
C. {(x,y) : y + 3x < -6}
D. {(x,y) : y - 3x < 6}

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Correct Answer: Option B

Explanation

Coordinates of the line are (x1 y1)(0,2) respectively and (x2 y2)(2,0) respectively
Gradient (m) of the line = (y2 - y1) / (x2 - x1) = (0-6) / (2-0) = -6/2
= -3
Equation of the line y-y1 = m(x-x1)
y - 6 = -3(x - 0)
y - 6 = -3x
y + 3x = 6
inequality; from the y axis, the shaded region is below the line
∴ y + 3x ∠ 6 and line is a broken line

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