What is |2x+4|-1>-x^2-4x-2 ?

The solution to |2x+4|-1>-x^2-4x-2 is x -1

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|2x+4|-1>-x^2-4x-2

∣ 2 x + 4 ∣ - 1 > - x^{2} - 4 x - 2

x < - 3 or x > - 1

Interval Notation

(- \infty, - 3) \cup (- 1, \infty)

Solution steps

∣ 2 x + 4 ∣ - 1 > - x^{2} - 4 x - 2

Find positive and negative intervals

x < - 2, x \geq - 2

Solve the inequality for each interval

x < - 3 or x > - 1

52 - x^{2} + x = 10

x^{3} - 9 x^{2} + 23 x - 15

1000 0^{\frac{1}{4}}

5 x > 35

14 b = - 56

What is |2x+4|-1>-x^2-4x-2 ?
The solution to |2x+4|-1>-x^2-4x-2 is x<-3\lor x>-1