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Popular >

1/x+x>2

Solution

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

Solution

0 < x < 1 or x > 1

+1

Interval Notation

(0, 1) \cup (1, \infty)

Solution steps

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

Rewrite in standard form

\frac{1 + x ^{2} - 2 x}{x} > 0

Factor

\frac{1 + x ^{2} - 2 x}{x} : \frac{( x - 1 ) ^{2}}{x}

\frac{( x - 1 ) ^{2}}{x} > 0

Identify the intervals

0 < x < 1 or x > 1

Graph

Popular Examples

simplify sqrt(429)simplify

429

1 x > 1

factor 27x^3-8 factor

27 x^{3} - 8

factor 72a^3-98ab^2 factor

72 a^{3} - 98 a b^{2}

simplify (110-0)/(2.2-0)simplify

\frac{110 - 0}{2.2 - 0}

Frequently Asked Questions (FAQ)

What is 1/x+x>2 ?
The solution to 1/x+x>2 is 0<x<1\lor x>1