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Popular >

|x-2|> 1/x

Solution

∣ x - 2 ∣ > \frac{1}{x}

Solution

x < 0 or x > 1 + 2

+2

Interval Notation

(- \infty, 0) \cup (1 + 2, \infty)

Decimal Notation

x < 0 or x > 2.41421 \dots

Solution steps

∣ x - 2 ∣ > \frac{1}{x}

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x < 0 or No Solution or x > 1 + 2

Merge Overlapping Intervals

x < 0 or x > 1 + 2

Popular Examples

x^{2} + x = 10

simplify \sqrt[3]{13824}simplify

factor 16m^2-9 factor

16 m^{2} - 9

12 X + 9 = 7 + 16 X

simplify 4^2*4^5 simplify

4^{2} \cdot 4^{5}

Frequently Asked Questions (FAQ)

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