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Popular >

|x+2|<4

Solution

∣ x + 2 ∣ < 4

Solution

- 6 < x < 2

+1

Interval Notation

(- 6, 2)

Solution steps

∣ x + 2 ∣ < 4

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 4 < x + 2 < 4

x + 2 > - 4 and x + 2 < 4

x > - 6 and x < 2

Merge Overlapping Intervals

- 6 < x < 2

Popular Examples

factor x^4+2x^3-6x^2+4x-16 factor

x^{4} + 2 x^{3} - 6 x^{2} + 4 x - 16

\frac{x - 1}{x - 12} < 0

factor 0.647^2-0.179*0.647-0.368*0.647 factor

0.64 7^{2} - 0.179 \cdot 0.647 - 0.368 \cdot 0.647

\frac{1}{x} \leq x - 1

3|5-7/3 x|+7=13

3 5 - \frac{7}{3} x + 7 = 13

Frequently Asked Questions (FAQ)

What is |x+2|<4 ?
The solution to |x+2|<4 is -6<x<2