What is 1/x >(1-x)/x ?

The solution to 1/x >(1-x)/x is x 0

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1/x >(1-x)/x

\frac{1}{x} > \frac{1 - x}{x}

x < 0 or x > 0

Solution steps

\frac{1}{x} > \frac{1 - x}{x}

Rewrite in standard form

\frac{1}{x} - \frac{1 - x}{x} > 0

Expand

\frac{1}{x} - \frac{1 - x}{x} : 1

1 > 0

True for all x

Combine the intervals

True for all x and x < 0 or x > 0

Merge Overlapping Intervals

x < 0 or x > 0

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21660 = 20 x^{2} + 760 x

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5 x - 3 (x - 6) \leq 0

\frac{12 w ^{2} x ^{3} y}{6 w x ^{2} y}