How do you solve $\frac{5}{x} > 3$ $5/x>3$ using a sign chart?

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Answer 1 · 2017-06-07T16:24:16

$0 < x < \frac{5}{3}$ $0 < x < 5/3$

$\frac{5}{x} - 3 > 0$ $5/x - 3 > 0$

$(5 - 3 x) x > 0$ $(5 - 3x)x > 0$

This is a parabola with negative concavity.
Its roots are $0$ $0$ and $\frac{5}{3}$ $5/3$

So your chart is $-$ $-$ $0$ $0$ $+$ $+$ $0$ $0$ $-$ $-$

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