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Popular >

|x+5|<4

Solution

∣ x + 5 ∣ < 4

Solution

- 9 < x < - 1

+1

Interval Notation

(- 9, - 1)

Solution steps

∣ x + 5 ∣ < 4

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 4 < x + 5 < 4

x + 5 > - 4 and x + 5 < 4

x > - 9 and x < - 1

Merge Overlapping Intervals

- 9 < x < - 1

Popular Examples

factor b^4-7b^2-144 factor

b^{4} - 7 b^{2} - 144

2 k^{2} + 2 = 4 k

simplify-7/2*1/6 simplify

- \frac{7}{2} \cdot \frac{1}{6}

simplify (1/2)^2+(1/4)^2 simplify

(\frac{1}{2})^{2} + (\frac{1}{4})^{2}

7^{p+2}<= 13^{5-p}

7^{p + 2} \leq 1 3^{5 - p}

Frequently Asked Questions (FAQ)

What is |x+5|<4 ?
The solution to |x+5|<4 is -9<x<-1