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Popular >

x>= 1/x

Solution

x \geq \frac{1}{x}

Solution

- 1 \leq x < 0 or x \geq 1

+1

Interval Notation

[- 1, 0) \cup [1, \infty)

Solution steps

x \geq \frac{1}{x}

Rewrite in standard form

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

Factor

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

\frac{( x + 1 ) ( x - 1 )}{x} \geq 0

Identify the intervals

- 1 \leq x < 0 or x \geq 1

Popular Examples

factor 12a^3b-20a^2b^3 factor

12 a^{3} b - 20 a^{2} b^{3}

2 + \frac{1}{4} x^{2} = 5

y^{2} + 5 y - 11 = 0

(x-17)/((x+12)^2(x-29))<= 0

\frac{x - 17}{( x + 12 ) ^{2} ( x - 29 )} \leq 0

simplify (-7+2i)^2 simplify

(- 7 + 2 i)^{2}

Frequently Asked Questions (FAQ)

What is x>= 1/x ?
The solution to x>= 1/x is -1<= x<0\lor x>= 1