JAMB Mathematics 2008 Objective — Question 19

Question 19 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

The shaded area that gives the solution set for the inequalities x+y<=3, x-y<=3 is

• A. Graph A
• B. Graph BCorrect
• C. Graph C
• D. Graph D

Explanation

Testing the boundary lines: (i) x+y=3 passes through (0,3) and (3,0); (ii) x-y=3 passes through (0,-3) and (3,0). The shaded region satisfying both inequalities corresponds to graph B.

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