Is (x + 1)/(x - 3) < 0 ?
plotting the inequality we get the zone -1<x<3 satisfying the above inequality.
(1) -1 < x < 1
as this range is subset of -1<x<3 so the inequality will always be -ve. Sufficient.
(2) x^2 - 4 < 0
-2<x<2
For this range, we can have both +ve and -ve values for the given inequality. Insufficient.
Hence A.
Attachments![Inequality.png Inequality.png]()
Inequality.png [ 3.83 KiB | Viewed 11 times ]
plotting the inequality we get the zone -1<x<3 satisfying the above inequality.
(1) -1 < x < 1
as this range is subset of -1<x<3 so the inequality will always be -ve. Sufficient.
(2) x^2 - 4 < 0
-2<x<2
For this range, we can have both +ve and -ve values for the given inequality. Insufficient.
Hence A.
Attachments
Inequality.png [ 3.83 KiB | Viewed 11 times ]








