Question

Which of the following points is in the solution set of y < x^2 - x - 6?

(-2, -1)
(0, -5)
(3, 0)

Answer 1

The answer is (-2, -1), because when substituted in the expression is correct:
-1 < 4 - -2 - 6
-1 < 6 - 6
-1 < 0

I hope this helps!

Answer 2

(3,-2) not given in the options.

Explanation:

The points may be determined by solving the quadratic equation. This can be done through the factorization method with y equated to 0.

It means that

x^2 - x - 6 = 0

x^2 - 3x + 2x - 6 = 0

x(x - 3) +2 (x - 3) = 0

(x - 3)(x + 2) = 0

x = 3 or -2