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Popular >

8|x+3/4 |<2

Solution

8 x + \frac{3}{4} < 2

Solution

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

+2

Interval Notation

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

Decimal

- 1 < x < - 0.5

Solution steps

8 x + \frac{3}{4} < 2

Divide both sides by

8

x + \frac{3}{4} < \frac{1}{4}

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- \frac{1}{4} < x + \frac{3}{4} < \frac{1}{4}

x + \frac{3}{4} > - \frac{1}{4} and x + \frac{3}{4} < \frac{1}{4}

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

Merge Overlapping Intervals

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

Graph

Popular Examples

factor 10y^4+9yx factor

10 y^{4} + 9 y x

9-2x-9-16x=-14x-7-4x-11

9 - 2 x - 9 - 16 x = - 14 x - 7 - 4 x - 11

8 v - 21 = 2 v - 9

x^{2} + 14 = 15

15 x - 45 = 15 x + 75

Frequently Asked Questions (FAQ)

What is 8|x+3/4 |<2 ?
The solution to 8|x+3/4 |<2 is -1<x<-1/2