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Popular >

3|2x+7|-9<0

Solution

3 ∣ 2 x + 7 ∣ - 9 < 0

Solution

- 5 < x < - 2

+1

Interval Notation

(- 5, - 2)

Solution steps

3 ∣ 2 x + 7 ∣ - 9 < 0

Move

9

to the right side

3 ∣ 2 x + 7 ∣ < 9

Divide both sides by

3

∣ 2 x + 7 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < 2 x + 7 < 3

2 x + 7 > - 3 and 2 x + 7 < 3

x > - 5 and x < - 2

Merge Overlapping Intervals

- 5 < x < - 2

Popular Examples

simplify 4/(-9)+(-3)/2 simplify

\frac{4}{- 9} + \frac{- 3}{2}

factor y^2+2y factor

y^{2} + 2 y

x^{2} = 5^{2} + 4^{2}

x-(13x)/(12)=(5x)/(18)+13/12

x - \frac{13 x}{12} = \frac{5 x}{18} + \frac{13}{12}

\frac{x}{6} + \frac{5}{4} = - \frac{3}{4}

Frequently Asked Questions (FAQ)

What is 3|2x+7|-9<0 ?
The solution to 3|2x+7|-9<0 is -5<x<-2