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Popular >

|x|< 2/x

Solution

∣ x ∣ < \frac{2}{x}

Solution

0 < x < 2

+2

Interval Notation

(0, 2)

Decimal Notation

0 < x < 1.41421 \dots

Solution steps

∣ x ∣ < \frac{2}{x}

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution or 0 < x < 2

Merge Overlapping Intervals

0 < x < 2

Popular Examples

x^{2} - ∣ x ∣ - 2 \geq 0

\frac{1 + 3}{x} > 2

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

\frac{1}{( ∣ x ∣ - 3 )} < \frac{1}{2}

3 ∣ x - 1 ∣ + x^{2} - 7 > 0

∣ x - 2 ∣ \leq ∣ x + 4 ∣

Frequently Asked Questions (FAQ)

What is |x|< 2/x ?
The solution to |x|< 2/x is 0<x<sqrt(2)