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Popular >

4/x <= x

Solution

\frac{4}{x} \leq x

Solution

- 2 \leq x < 0 or x \geq 2

+1

Interval Notation

[- 2, 0) \cup [2, \infty)

Solution steps

\frac{4}{x} \leq x

Rewrite in standard form

\frac{4 - x ^{2}}{x} \leq 0

Factor

\frac{4 - x ^{2}}{x} : \frac{- ( x + 2 ) ( x - 2 )}{x}

\frac{- ( x + 2 ) ( x - 2 )}{x} \leq 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - ( x + 2 ) ( x - 2 ) ) ( - 1 )}{x} \geq 0 \cdot (- 1)

Simplify

\frac{( x + 2 ) ( x - 2 )}{x} \geq 0

Identify the intervals

- 2 \leq x < 0 or x \geq 2

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Frequently Asked Questions (FAQ)

What is 4/x <= x ?
The solution to 4/x <= x is -2<= x<0\lor x>= 2