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Popular >

|x-1|<5

Solution

∣ x - 1 ∣ < 5

Solution

- 4 < x < 6

+1

Interval Notation

(- 4, 6)

Solution steps

∣ x - 1 ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < x - 1 < 5

x - 1 > - 5 and x - 1 < 5

x > - 4 and x < 6

Merge Overlapping Intervals

- 4 < x < 6

Popular Examples

-17.8359x^2-11.5588585x+1.322711=0

- 17.8359 x^{2} - 11.5588585 x + 1.322711 = 0

simplify sqrt(588)simplify

588

simplify 7/8+3/4 simplify

\frac{7}{8} + \frac{3}{4}

(4g)/(14)-3/7-g/(14)= 3/14

\frac{4 g}{14} - \frac{3}{7} - \frac{g}{14} = \frac{3}{14}

11.21z+(1.44-10.21z)=13.56

11.21 z + (1.44 - 10.21 z) = 13.56

Frequently Asked Questions (FAQ)

What is |x-1|<5 ?
The solution to |x-1|<5 is -4<x<6