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JAMB Mathematics 2008 Question 19

Question 19

Inequalities

The shaded area that gives the solution set for the inequalities x + y ≤ 3, x − y ≤ 3, is

Diagram for this question
  1. A.Graph A
  2. B.Graph B
  3. C.Graph C
  4. D.Graph D
Show the answer and explanation

Answer: B (Graph B)

Explanation

x + y ≤ 3 is on or below the line through (0, 3) and (3, 0); x − y ≤ 3 is on or above the line through (3, 0) and (0, −3). The region between both lines, left of (3, 0), is the one shaded in B.