Solve for X?

Question

solve for x:
x^2 - 3x - 10 > 0

Answer 1

(x - 5) (x + 2) > 0

Possible solutions:-
x > 5 , x + 2 >0
x > 5 , x > - 2
OR
x - 5 < 0 , (x + 2) < 0
x < 5 , x < - 2

Answer 2

Factor this into (x - 5) (x+2) > 0

So, the solutions are x = 5, -2

Answer 3

x^2 - 5x + 2x - 10 > 0
x(x-5)+2(x-5) > 0
(x+2)(x-5) > 0

x+2 and x-5 are both > 0
x > -2 and x > 5
x > 5

OR
x+2 and x-5 are both > 0
x < -2 and x < 5
x < -2

x = {(-inf, -2)U(5, inf)}