Inequality

[jainrahul1985]

If x(x - 5)(x + 2) = 0, is x negative?
(1) x2 - 7x ≠ 0
(2) x2 -2x -15 ≠ 0

OA C

[raviki8208]

If x(x - 5)(x + 2) = 0, is x negative?
(1) x2 - 7x ≠ 0
(2) x2 -2x -15 ≠ 0

OA C

Given x = 0 , 5 or -2
using 1 alone, x(x-7) ≠ 0 => x ≠ 0
using 2 alone, (x-5)(x+2) ≠ 0 => x ≠ 5

using both x ≠ 0 and 5 so it be -2 SO, answer is C

[jainrahul1985]

Can you please explain why using 2 we can't have x not equal to 2

[jeffedwards]

Can you please explain why using 2 we can't have x not equal to 2

Jainrahul1985, I'm not exactly sure what your question is, but I think it may be because of the small typo in statement number two in the explanation above.

X^2-2x-15 really reduces to
(x-5)(x+3)....not (x+2)

Does that answer your question?