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Popular >

|2x-5|<17

Solution

∣ 2 x - 5 ∣ < 17

Solution

- 6 < x < 11

+1

Interval Notation

(- 6, 11)

Solution steps

∣ 2 x - 5 ∣ < 17

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 17 < 2 x - 5 < 17

2 x - 5 > - 17 and 2 x - 5 < 17

x > - 6 and x < 11

Merge Overlapping Intervals

- 6 < x < 11

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Frequently Asked Questions (FAQ)

What is |2x-5|<17 ?
The solution to |2x-5|<17 is -6<x<11