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Popular >

|(3x+6)/2 |<3

Solution

\frac{3 x + 6}{2} < 3

Solution

- 4 < x < 0

+1

Interval Notation

(- 4, 0)

Solution steps

\frac{3 x + 6}{2} < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < \frac{3 x + 6}{2} < 3

\frac{3 x + 6}{2} > - 3 and \frac{3 x + 6}{2} < 3

x > - 4 and x < 0

Merge Overlapping Intervals

- 4 < x < 0

Popular Examples

factor 2x^2+6x+4 factor

2 x^{2} + 6 x + 4

simplify sqrt(5/36)simplify

\frac{5}{36}

(2x+1)^2-(2x-1)^2=(x+6)^2-x^2

(2 x + 1)^{2} - (2 x - 1)^{2} = (x + 6)^{2} - x^{2}

simplify (3x^3)^2 simplify

(3 x^{3})^{2}

simplify (1/6)^{-2}simplify

(\frac{1}{6})^{- 2}

Frequently Asked Questions (FAQ)

What is |(3x+6)/2 |<3 ?
The solution to |(3x+6)/2 |<3 is -4<x<0