Question

What is the solution set of x²–5x–14>0

Answer 1

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,∞)