What is 1/(5|10x-2|)<1 ?

The solution to 1/(5|10x-2|) 11/50

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1/(5|10x-2|)<1

\frac{1}{5 ∣ 10 x - 2 ∣} < 1

x < \frac{9}{50} or x > \frac{11}{50}

Interval Notation

(- \infty, \frac{9}{50}) \cup (\frac{11}{50}, \infty)

Decimal Notation

x < 0.18 or x > 0.22

Solution steps

\frac{1}{5 ∣ 10 x - 2 ∣} < 1

Find positive and negative intervals

x < \frac{1}{5}, x \geq \frac{1}{5}

Solve the inequality for each interval

x < \frac{9}{50} or x > \frac{11}{50}

∣ 3 x - 2 ∣ > - 3

\frac{∣ x - 3 ∣}{∣ x + 1 ∣} < 1

x, ∣ x + y ∣ < 10

2 + 3 ∣ 2 y - 1 ∣ > 8

3 ∣ x - 2 ∣ + 9 < 33

What is 1/(5|10x-2|)<1 ?
The solution to 1/(5|10x-2|)<1 is x< 9/50 \lor x> 11/50