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Popular >

|x-6|<9

Solution

∣ x - 6 ∣ < 9

Solution

- 3 < x < 15

+1

Interval Notation

(- 3, 15)

Solution steps

∣ x - 6 ∣ < 9

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 9 < x - 6 < 9

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

x > - 3 and x < 15

Merge Overlapping Intervals

- 3 < x < 15

Popular Examples

simplify (16xy^4)/(24x^4y^8)simplify

\frac{16 x y ^{4}}{24 x ^{4} y ^{8}}

3 x^{2} - 10 x \leq 0

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\frac{5 ^{3}}{3}

4x^3-3x^2-16x+12<= 0

4 x^{3} - 3 x^{2} - 16 x + 12 \leq 0

8 + 8 x - x^{2} = 0

Frequently Asked Questions (FAQ)

What is |x-6|<9 ?
The solution to |x-6|<9 is -3<x<15