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Popular >

2-x> 1/x

Solution

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

Solution

x < 0

+1

Solution steps

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

Rewrite in standard form

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

Factor

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

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

Multiply both sides by

- 1

(reverse the inequality)

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

Simplify

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

Identify the intervals

x < 0

Popular Examples

simplify 4/(3+i)simplify

\frac{4}{3 + i}

30 x^{2} + 7 x - 15 = 0

8 x^{2} + 48 x = 0

6 y^{2} + 7 y - 3 = 0

simplify (2/9)^2+3/4-(1/3)^2 simplify

(\frac{2}{9})^{2} + \frac{3}{4} - (\frac{1}{3})^{2}

Frequently Asked Questions (FAQ)

What is 2-x> 1/x ?
The solution to 2-x> 1/x is x<0