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Popular >

|6x-9|<9

Solution

∣ 6 x - 9 ∣ < 9

Solution

0 < x < 3

+1

Interval Notation

(0, 3)

Solution steps

∣ 6 x - 9 ∣ < 9

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 9 < 6 x - 9 < 9

6 x - 9 > - 9 and 6 x - 9 < 9

x > 0 and x < 3

Merge Overlapping Intervals

0 < x < 3

Popular Examples

(x^2-16)/(x^2-25)<0

\frac{x ^{2} - 16}{x ^{2} - 25} < 0

simplify (9^{-5})/(9^3)simplify

\frac{9 ^{- 5}}{9 ^{3}}

factor 3s^2+4s-4 factor

3 s^{2} + 4 s - 4

4y+2<6\land 3y+6<18

4 y + 2 < 6 and 3 y + 6 < 18

3/2-z/5 = 1/10+(3z)/(20)

\frac{3}{2} - \frac{z}{5} = \frac{1}{10} + \frac{3 z}{20}

Frequently Asked Questions (FAQ)

What is |6x-9|<9 ?
The solution to |6x-9|<9 is 0<x<3