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Popular >

|5-2x|<1

Solution

∣ 5 - 2 x ∣ < 1

Solution

2 < x < 3

+1

Interval Notation

(2, 3)

Solution steps

∣ 5 - 2 x ∣ < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < 5 - 2 x < 1

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

x < 3 and x > 2

Merge Overlapping Intervals

2 < x < 3

Graph

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Frequently Asked Questions (FAQ)

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