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Popular >

2|x-5|<32

Solution

2 ∣ x - 5 ∣ < 32

Solution

- 11 < x < 21

+1

Interval Notation

(- 11, 21)

Solution steps

2 ∣ x - 5 ∣ < 32

Divide both sides by

2

∣ x - 5 ∣ < 16

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 16 < x - 5 < 16

x - 5 > - 16 and x - 5 < 16

x > - 11 and x < 21

Merge Overlapping Intervals

- 11 < x < 21

Popular Examples

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lo g_{64} (16)

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- 3 i \cdot 6 i - 3 (- 7 + 6 i)

simplify (x^6)^2 simplify

(x^{6})^{2}

- \frac{n}{7} \geq 3

- 8 \geq 8

Frequently Asked Questions (FAQ)

What is 2|x-5|<32 ?
The solution to 2|x-5|<32 is -11<x<21