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Popular >

|x-4|<1

Solution

∣ x - 4 ∣ < 1

Solution

3 < x < 5

+1

Interval Notation

(3, 5)

Solution steps

∣ x - 4 ∣ < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < x - 4 < 1

x - 4 > - 1 and x - 4 < 1

x > 3 and x < 5

Merge Overlapping Intervals

3 < x < 5

Popular Examples

(x-2)/6 >= (x-1)/9+7/18

\frac{x - 2}{6} \geq \frac{x - 1}{9} + \frac{7}{18}

factor-15x^5+3x factor

- 15 x^{5} + 3 x

6 - 2 x = 5 x - 9 x + 2

log_{3}(3)x^2+log_{3}(3)=2

lo g_{3} (3) x^{2} + lo g_{3} (3) = 2

factor 3a^2+4a-4 factor

3 a^{2} + 4 a - 4

Frequently Asked Questions (FAQ)

What is |x-4|<1 ?
The solution to |x-4|<1 is 3<x<5