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Popular >

|3x+6|<12

Solution

∣ 3 x + 6 ∣ < 12

Solution

- 6 < x < 2

+1

Interval Notation

(- 6, 2)

Solution steps

∣ 3 x + 6 ∣ < 12

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 12 < 3 x + 6 < 12

3 x + 6 > - 12 and 3 x + 6 < 12

x > - 6 and x < 2

Merge Overlapping Intervals

- 6 < x < 2

Popular Examples

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y^{8}

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- 3 x^{3} - 15 x^{2} + 42 x

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m^{2} + 19 m + 48

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8 - 24

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Frequently Asked Questions (FAQ)

What is |3x+6|<12 ?
The solution to |3x+6|<12 is -6<x<2