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Popular >

3/(|2x-1|)>0

Solution

\frac{3}{∣ 2 x - 1 ∣} > 0

Solution

x < \frac{1}{2} or x > \frac{1}{2}

+2

Interval Notation

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

Decimal Notation

x < 0.5 or x > 0.5

Solution steps

\frac{3}{∣ 2 x - 1 ∣} > 0

Divide both sides by

3

\frac{\frac{3}{∣ 2 x - 1 ∣}}{3} > \frac{0}{3}

Simplify

\frac{1}{∣ 2 x - 1 ∣} > 0

If

\frac{1}{a} > 0

then

a > 0

∣ 2 x - 1 ∣ > 0

Apply absolute rule: If

∣ u ∣ > 0

then

u < 0

or

u > 0

2 x - 1 < 0 or 2 x - 1 > 0

2 x - 1 < 0 or 2 x - 1 > 0

x < \frac{1}{2} or x > \frac{1}{2}

Popular Examples

simplify 3/4 (-1)-((-1)^2)/2 simplify

\frac{3}{4} (- 1) - \frac{( - 1 ) ^{2}}{2}

- 10 b + 5 = 7 b + 5

simplify 4*16 simplify

4 \cdot 16

x + \frac{x}{2} - 4 = \frac{x}{4}

3 (x + 2) = 3 x - 2

Frequently Asked Questions (FAQ)

What is 3/(|2x-1|)>0 ?
The solution to 3/(|2x-1|)>0 is x< 1/2 \lor x> 1/2