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Popular >

3|x+5|-3<6

Solution

3 ∣ x + 5 ∣ - 3 < 6

Solution

- 8 < x < - 2

+1

Interval Notation

(- 8, - 2)

Solution steps

3 ∣ x + 5 ∣ - 3 < 6

Move

3

to the right side

3 ∣ x + 5 ∣ < 9

Divide both sides by

3

∣ x + 5 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < x + 5 < 3

x + 5 > - 3 and x + 5 < 3

x > - 8 and x < - 2

Merge Overlapping Intervals

- 8 < x < - 2

Popular Examples

factor 4t^2-t factor

4 t^{2} - t

simplify 2^{2n}simplify

2^{2 n}

simplify 2/7+1/5 simplify

\frac{2}{7} + \frac{1}{5}

3 a = 9 + a

simplify 3/4*9 simplify

\frac{3}{4} \cdot 9

Frequently Asked Questions (FAQ)

What is 3|x+5|-3<6 ?
The solution to 3|x+5|-3<6 is -8<x<-2