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Popular >

|x+5|<2

Solution

∣ x + 5 ∣ < 2

Solution

- 7 < x < - 3

+1

Interval Notation

(- 7, - 3)

Solution steps

∣ x + 5 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < x + 5 < 2

x + 5 > - 2 and x + 5 < 2

x > - 7 and x < - 3

Merge Overlapping Intervals

- 7 < x < - 3

Popular Examples

factor (a+b)^2-49 factor

(a + b)^{2} - 49

- 6 (x - 1) \leq 66

factor k^4-16 factor

k^{4} - 16

factor t^2+6t-16 factor

t^{2} + 6 t - 16

factor 5x^3-20x^2+9x-36 factor

5 x^{3} - 20 x^{2} + 9 x - 36

Frequently Asked Questions (FAQ)

What is |x+5|<2 ?
The solution to |x+5|<2 is -7<x<-3