What is x if $\frac{5}{x + 3} \geq \frac{3}{x} ?$ $5/(x+3) ≥ 3/x?$

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What is x if $\frac{5}{x + 3} \geq \frac{3}{x} ?$ $5/(x+3) ≥ 3/x?$

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Answer 1 · 2018-03-29T16:17:45

$x \geq \frac{9}{2}$ $x ≥ 9/2$

Explanation:

firstly multiply by,x both sides will give,
$\frac{5 x}{x + 3} \geq 3$ $(5x)/(x+3)≥3$
now, multiply by (x+3) will give,
$(5 x) \geq 3 x + 9$ $(5x)≥3x+9$
now,subtract both sides by 3x
$2 x \geq 9$ $2x≥9$ , which will give
$x \geq \frac{9}{2}$ $x≥9/2$

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