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

1. x2 – 7x ≠ 0
can be factorised as x(x-7)≠0 i.e x≠0,7
This leaves us with 2 choices for x which is 5 and -2
So, not sufficent

2. x2 –2x –15 ≠ 0
can be factorised as (x+3)(x-5)≠0 i.e x≠-3,5
This leaves us again with 2 choices for x 0 and -2
Not sufficient.

Taking 1 and 2 together, x≠0,7,-3,5
So, it can be deduced that x= -2
Sufficient.
I think the ans is C. Correct me if I'm wrong.

IMO also C