What is |x^2-4|<-2x+4 ?

The solution to |x^2-4|<-2x+4 is -4<x<0

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|x^2-4|<-2x+4

x^{2} - 4 < - 2 x + 4

- 4 < x < 0

Interval Notation

(- 4, 0)

Solution steps

x^{2} - 4 < - 2 x + 4

Find positive and negative intervals

x \leq - 2, - 2 < x < 2, x \geq 2

Solve the inequality for each interval

- 4 < x \leq - 2 or - 2 < x < 0 or No Solution

Merge Overlapping Intervals

- 4 < x < 0

d^{2} + 5 d - 24

4.2 < - 1.9 + x

5 y + 9 \leq 4

- 2 ∣ 5 - 5 x ∣ - 10 = - 26

\frac{x + 6}{5} = ∣ x ∣