CA Foundation · Quantitative Aptitude · Linear Inequalities
Which of the following points satisfies all the inequalities x + y ≤ 8, x − y ≥ 2, x ≥ 0 and y ≥ 0 together?
The point (4, 1) is correct because it gives x + y = 5, which is at most 8, and x − y = 3, which is at least 2, with both coordinates non-negative. Every other point violates at least one of the conditions.
- A(2, 5)
- B(6, 3)
- C(4, 1)Correct
- D(7, 2)
Explanation
Check each point. (2,5): x−y = −3, fails x−y ≥ 2. (6,3): x+y = 9 > 8, fails. (7,2): x+y = 9 > 8, fails. (4,1): x+y = 5 ≤ 8, x−y = 3 ≥ 2, and both coordinates are non-negative, so it satisfies all.
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