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Popular >

|x-1|<6

Solution

∣ x - 1 ∣ < 6

Solution

- 5 < x < 7

+1

Interval Notation

(- 5, 7)

Solution steps

∣ x - 1 ∣ < 6

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 6 < x - 1 < 6

x - 1 > - 6 and x - 1 < 6

x > - 5 and x < 7

Merge Overlapping Intervals

- 5 < x < 7

Popular Examples

2(x-7)+3x=4x-8-x

2 (x - 7) + 3 x = 4 x - 8 - x

0=x^2+2(0.7)x-0.4125

0 = x^{2} + 2 (0.7) x - 0.4125

factor 10x^2+33x-7 factor

10 x^{2} + 33 x - 7

simplify ((3abc)^3)/((2a^{-1)b^{-2}c)^2}simplify

\frac{( 3 ab c ) ^{3}}{( 2 a ^{- 1} b ^{- 2} c ) ^{2}}

3 w^{2} - 21 w = 0

Frequently Asked Questions (FAQ)

What is |x-1|<6 ?
The solution to |x-1|<6 is -5<x<7