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the area shaded with vertical lines is the solution set of the inequalities;

Mathematics
WAEC 1990

the area shaded with vertical lines is the solution set of the inequalities;

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

Vertical Line x = 3:
This line indicates a constraint on x, specifically that 
x ≤ 3.(behind is shaded)

The line y + 2x = -3 or y = - 2x - 3

This line has a negative slope of -2 and intersects the y-axis at -3. The region below this line corresponds to 
y ≤ − 2x − 3.

Line y = x:

.This line has a slope of 1 and passes through the origin. The region below this line corresponds to y ≤ x

The lines are all thick = strict inequalities.

 

 


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