The solution to 8/x >2 is 0<x<4

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8/x >2

Solution

\frac{8}{x} > 2

0 < x < 4

Interval Notation

(0, 4)

Solution steps

\frac{8}{x} > 2

Rewrite in standard form

\frac{8 - 2 x}{x} > 0

Factor

\frac{8 - 2 x}{x} : \frac{- 2 ( x - 4 )}{x}

\frac{- 2 ( x - 4 )}{x} > 0

Multiply both sides by

- 1

(reverse the inequality)

\frac{( - 2 ( x - 4 ) ) ( - 1 )}{x} < 0 \cdot (- 1)

Simplify

\frac{2 ( x - 4 )}{x} < 0

Divide both sides by

2

\frac{\frac{2 ( x - 4 )}{x}}{2} < \frac{0}{2}

Simplify

\frac{x - 4}{x} < 0

Identify the intervals

0 < x < 4

5 x - 2 \geq 6

ln (3 e)

5 \cdot \frac{3}{10}

241 = - 16 t^{2} + 241

\frac{x}{9} = 7