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Popular >

|(1-3x)/(x-2)|<2

Solution

\frac{1 - 3 x}{x - 2} < 2

Solution

- 3 < x < 1

+1

Interval Notation

(- 3, 1)

Solution steps

\frac{1 - 3 x}{x - 2} < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < \frac{1 - 3 x}{x - 2} < 2

\frac{1 - 3 x}{x - 2} > - 2 and \frac{1 - 3 x}{x - 2} < 2

- 3 < x < 2 and (x < 1 or x > 2)

Merge Overlapping Intervals

- 3 < x < 1

Popular Examples

simplify 4*5 simplify

4 \cdot 5

3t^2+6t+3=-4.9t^2+7.5

3 t^{2} + 6 t + 3 = - 4.9 t^{2} + 7.5

factor 4c^2+10c+4 factor

4 c^{2} + 10 c + 4

factor 12x^4-3x^2 factor

12 x^{4} - 3 x^{2}

factor x^2-13xy+12y^2 factor

x^{2} - 13 x y + 12 y^{2}

Frequently Asked Questions (FAQ)

What is |(1-3x)/(x-2)|<2 ?
The solution to |(1-3x)/(x-2)|<2 is -3<x<1