Answer:
x ∈ (−∞,−2) ∪ (7,∞)
Explanation:
First factor the expression x² - 5x - 14 = 0
(x - 7)(x + 2) = 0
Therefore, the roots are: 7, -2
In order for this expression to be true, x² - 5x - 14 > 0, then:
x < -2 or x > 7
Rewrite the solution set in interval notation:
x ∈ (−∞,−2) ∪ (7,∞)