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Popular >

|2x+1|<5

Solution

∣ 2 x + 1 ∣ < 5

Solution

- 3 < x < 2

+1

Interval Notation

(- 3, 2)

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 > - 3 and x < 2

Merge Overlapping Intervals

- 3 < x < 2

Popular Examples

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2 q^{2} + 9 q + 10

\frac{4}{5}

simplify (pi/3)/3 simplify

\frac{\frac{π}{3}}{3}

simplify (1*10^{-14})/(1.8*10^{-5)}simplify

\frac{1 \cdot 1 0 ^{- 14}}{1.8 \cdot 1 0 ^{- 5}}

simplify \sqrt[3]{sqrt(4096)}simplify

Frequently Asked Questions (FAQ)

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