CA Foundation · Quantitative Aptitude · Linear Inequalities
Which of the following points satisfies the inequality 3x − 2y > 6?
The point (4, 2) satisfies 3x − 2y > 6 because 3(4) − 2(2) = 8, which exceeds 6. The other points give values 4, 5 and 5, all of which are less than 6, so they fail the inequality.
- A(2, 1)
- B(4, 2)Correct
- C(3, 2)
- D(1, −1)
Explanation
Substitute each point. (2,1): 6−2=4, not >6. (4,2): 12−4=8>6, true. (3,2): 9−4=5, not >6. (1,−1): 3+2=5, not >6. Only (4, 2) satisfies the inequality.
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