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Popular >

5>|x-1|

Solution

5 > ∣ x - 1 ∣

Solution

- 4 < x < 6

+1

Interval Notation

(- 4, 6)

Solution steps

5 > ∣ x - 1 ∣

Switch sides

∣ 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

factor 14x^2y^2-28x^5+56x^4 factor

14 x^{2} y^{2} - 28 x^{5} + 56 x^{4}

simplify 59/44-1/2 simplify

\frac{59}{44} - \frac{1}{2}

factor 25-36y^2 factor

25 - 36 y^{2}

6 x - 8 \geq 40

6 x - 2 x + 8 = x + 5

Frequently Asked Questions (FAQ)

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