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Popular >

|3x-9|<18

Solution

∣ 3 x - 9 ∣ < 18

Solution

- 3 < x < 9

+1

Interval Notation

(- 3, 9)

Solution steps

∣ 3 x - 9 ∣ < 18

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 18 < 3 x - 9 < 18

3 x - 9 > - 18 and 3 x - 9 < 18

x > - 3 and x < 9

Merge Overlapping Intervals

- 3 < x < 9

Popular Examples

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6 - x + 3 \cdot (4 + 5 x) = x - (7 x + 2)

|7.7z-8.1|=|0.9z+3.8|

∣ 7.7 z - 8.1 ∣ = ∣ 0.9 z + 3.8 ∣

Frequently Asked Questions (FAQ)

What is |3x-9|<18 ?
The solution to |3x-9|<18 is -3<x<9