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Popular >

5+6|4x-1|<23

Solution

5 + 6 ∣ 4 x - 1 ∣ < 23

Solution

- \frac{1}{2} < x < 1

+2

Interval Notation

(- \frac{1}{2}, 1)

Decimal Notation

- 0.5 < x < 1

Solution steps

5 + 6 ∣ 4 x - 1 ∣ < 23

Move

5

to the right side

6 ∣ 4 x - 1 ∣ < 18

Divide both sides by

6

∣ 4 x - 1 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < 4 x - 1 < 3

4 x - 1 > - 3 and 4 x - 1 < 3

x > - \frac{1}{2} and x < 1

Merge Overlapping Intervals

- \frac{1}{2} < x < 1

Popular Examples

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3 a^{2} b^{2} \cdot 9 a^{4} b^{6} \cdot 12 a^{2}

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8 c^{2} - 88 c + 242

simplify log_{2}(0)simplify

lo g_{2} (0)

factor 6x^2-17x-3 factor

6 x^{2} - 17 x - 3

7 x = 30 - x^{2}

Frequently Asked Questions (FAQ)

What is 5+6|4x-1|<23 ?
The solution to 5+6|4x-1|<23 is -1/2 <x<1