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Popular >

|x-32|<1

Solution

∣ x - 32 ∣ < 1

Solution

31 < x < 33

+1

Interval Notation

(31, 33)

Solution steps

∣ x - 32 ∣ < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < x - 32 < 1

x - 32 > - 1 and x - 32 < 1

x > 31 and x < 33

Merge Overlapping Intervals

31 < x < 33

Popular Examples

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\frac{75 π}{180}

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16 x y^{3} - 84 x^{2} y^{2} + 108 x^{3} y

- 4 \leq 3 x - 1

-4(x+2)<-1/2 (4x-4)

- 4 (x + 2) < - \frac{1}{2} (4 x - 4)

Frequently Asked Questions (FAQ)

What is |x-32|<1 ?
The solution to |x-32|<1 is 31<x<33