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Popular >

4|x+4|+6<30

Solution

4 ∣ x + 4 ∣ + 6 < 30

Solution

- 10 < x < 2

+1

Interval Notation

(- 10, 2)

Solution steps

4 ∣ x + 4 ∣ + 6 < 30

Move

6

to the right side

4 ∣ x + 4 ∣ < 24

Divide both sides by

4

∣ x + 4 ∣ < 6

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 6 < x + 4 < 6

x + 4 > - 6 and x + 4 < 6

x > - 10 and x < 2

Merge Overlapping Intervals

- 10 < x < 2

Popular Examples

4 u - 2 = 14

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x^{2} + 2 x y - 24 y^{2}

simplify (40x^8y^8)/(8x^7y)simplify

\frac{40 x ^{8} y ^{8}}{8 x ^{7} y}

3 (2 x + 5) = 39

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

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

Frequently Asked Questions (FAQ)

What is 4|x+4|+6<30 ?
The solution to 4|x+4|+6<30 is -10<x<2