What is ((2))/x <= x ?

The solution to ((2))/x = sqrt(2)

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((2))/x <= x

\frac{( 2 )}{x} \leq x

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

Interval Notation

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

Decimal Notation

- 1.41421 \dots \leq x < 0 or x \geq 1.41421 \dots

Solution steps

\frac{2}{x} \leq x

Rewrite in standard form

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

Factor

\frac{2 - 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

lo g_{2} (16)

5 + \frac{1}{2}

\frac{3}{48}

2 a x + 2 b x + a y + b y

x - 5 = 3 - x

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