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Popular >

|x-2|<9

Solution

∣ x - 2 ∣ < 9

Solution

- 7 < x < 11

+1

Interval Notation

(- 7, 11)

Solution steps

∣ x - 2 ∣ < 9

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 9 < x - 2 < 9

x - 2 > - 9 and x - 2 < 9

x > - 7 and x < 11

Merge Overlapping Intervals

- 7 < x < 11

Popular Examples

3 x^{2} + 17 x - 6 = 0

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\frac{80 \cdot 20}{100}

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8 m^{3} n - 32 m^{2} n^{2} + 24 mn

(4913)/(|4x+5|^2)-|4x+5|>= 0

\frac{4913}{∣ 4 x + 5 ∣ ^{2}} - ∣ 4 x + 5 ∣ \geq 0

Frequently Asked Questions (FAQ)

What is |x-2|<9 ?
The solution to |x-2|<9 is -7<x<11