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Popular >

|x+4|<1

Solution

∣ x + 4 ∣ < 1

Solution

- 5 < x < - 3

+1

Interval Notation

(- 5, - 3)

Solution steps

∣ x + 4 ∣ < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < x + 4 < 1

x + 4 > - 1 and x + 4 < 1

x > - 5 and x < - 3

Merge Overlapping Intervals

- 5 < x < - 3

Popular Examples

4x-1<7\land 2x+8>= 4

4 x - 1 < 7 and 2 x + 8 \geq 4

simplify 4/3 pi4^3 simplify

\frac{4}{3} π 4^{3}

3 x < - 6

simplify log_{5}(7a^5)simplify

lo g_{5} (7 a^{5})

simplify (-4/3)^2-1 simplify

(- \frac{4}{3})^{2} - 1

Frequently Asked Questions (FAQ)

What is |x+4|<1 ?
The solution to |x+4|<1 is -5<x<-3