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Popular >

4|5+2x|-3<41

Solution

4 ∣ 5 + 2 x ∣ - 3 < 41

Solution

- 8 < x < 3

+1

Interval Notation

(- 8, 3)

Solution steps

4 ∣ 5 + 2 x ∣ - 3 < 41

Move

3

to the right side

4 ∣ 5 + 2 x ∣ < 44

Divide both sides by

4

∣ 5 + 2 x ∣ < 11

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 11 < 5 + 2 x < 11

5 + 2 x > - 11 and 5 + 2 x < 11

x > - 8 and x < 3

Merge Overlapping Intervals

- 8 < x < 3

Popular Examples

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20 x^{16} y^{25}

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n^{\frac{1}{2}} \cdot n^{\frac{1}{2}}

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y^{6} + 7 y^{3} - 8

\frac{2}{2 - x} \geq \frac{4}{x}

Frequently Asked Questions (FAQ)

What is 4|5+2x|-3<41 ?
The solution to 4|5+2x|-3<41 is -8<x<3