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Popular >

5|x+9|+2<17

Solution

5 ∣ x + 9 ∣ + 2 < 17

Solution

- 12 < x < - 6

+1

Interval Notation

(- 12, - 6)

Solution steps

5 ∣ x + 9 ∣ + 2 < 17

Move

2

to the right side

5 ∣ x + 9 ∣ < 15

Divide both sides by

5

∣ x + 9 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < x + 9 < 3

x + 9 > - 3 and x + 9 < 3

x > - 12 and x < - 6

Merge Overlapping Intervals

- 12 < x < - 6

Popular Examples

simplify (2+i)(2-2i)simplify

(2 + i) (2 - 2 i)

3x+7<=-2\land 2x<= 0

3 x + 7 \leq - 2 and 2 x \leq 0

(3x+1)/7-(2-4x)/3 =(5x-4}{14}+\frac{7x)/6

\frac{3 x + 1}{7} - \frac{2 - 4 x}{3} = \frac{5 x - 4}{14} + \frac{7 x}{6}

simplify (4+i)-(3-5i)(-2+5i)simplify

(4 + i) - (3 - 5 i) (- 2 + 5 i)

5 x < 10

Frequently Asked Questions (FAQ)

What is 5|x+9|+2<17 ?
The solution to 5|x+9|+2<17 is -12<x<-6