8-2x-x^2<0

Solution

8 - 2 x - x^{2} < 0

x < - 4 or x > 2

Interval Notation

(- \infty, - 4) \cup (2, \infty)

Solution steps

8 - 2 x - x^{2} < 0

Factor

8 - 2 x - x^{2} : - (x - 2) (x + 4)

- (x - 2) (x + 4) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x - 2) (x + 4)) (- 1) > 0 \cdot (- 1)

Simplify

(x - 2) (x + 4) > 0

Identify the intervals

x < - 4 or x > 2

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