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Popular >

|2x-1|<5

Solution

∣ 2 x - 1 ∣ < 5

Solution

- 2 < x < 3

+1

Interval Notation

(- 2, 3)

Solution steps

∣ 2 x - 1 ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < 2 x - 1 < 5

2 x - 1 > - 5 and 2 x - 1 < 5

x > - 2 and x < 3

Merge Overlapping Intervals

- 2 < x < 3

Popular Examples

factor 225a^2-36b^2 factor

225 a^{2} - 36 b^{2}

factor 3x^2-75 factor

3 x^{2} - 75

\frac{3 x}{10} = \frac{9}{5}

factor 2x^2-4x+2 factor

2 x^{2} - 4 x + 2

factor 16a^4-49t^2 factor

16 a^{4} - 49 t^{2}

Frequently Asked Questions (FAQ)

What is |2x-1|<5 ?
The solution to |2x-1|<5 is -2<x<3