CA Foundation · Quantitative Aptitude · Linear Inequalities
Which of the following points lies in the solution region of the system x + y ≤ 8, x − y ≥ 2, x ≥ 0, y ≥ 0?
The point (5, 2) is correct because it satisfies every condition: 5+2=7 is at most 8, 5−2=3 is at least 2, and both coordinates are non-negative. Each of the other points violates at least one of the two main inequalities.
- A(2, 5)
- B(6, 3)
- C(5, 2)Correct
- D(4, 3)
Explanation
Check each point. (5,2): 5+2=7 ≤ 8 and 5−2=3 ≥ 2, so it satisfies both. (2,5) fails x−y ≥ 2 as −3 < 2. (6,3) fails x+y ≤ 8 as 9 > 8. (4,3) fails x−y ≥ 2 as 1 < 2.
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