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mathmath333
 one year ago
Find the range of \(x\).
mathmath333
 one year ago
Find the range of \(x\).

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mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0\(\large \color{black}{\begin{align} \dfrac{x3}{x+5}\leq 0\hspace{.33em}\\~\\ \end{align}}\)

idku
 one year ago
Best ResponseYou've already chosen the best response.3x has to be greater than 5 and smaller than or equal to 3 so that either top or bottom is negative (or that it is 0).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0numerator and denominator must be of opposite sign

geerky42
 one year ago
Best ResponseYou've already chosen the best response.1We can see that \(x\neq5\). Multiply both sides by \(x+5\), from here, split it into two cases. \[x3\le0\quad \text{if }~~x+5>0\] \[x3\ge0\quad \text{if }~~x+5<0\] For first case, you have \(x\le3\) if \(x>5\), so range is \(5<x\le3\) Second case is impossible.

idku
 one year ago
Best ResponseYou've already chosen the best response.3hate notations, and love them

idku
 one year ago
Best ResponseYou've already chosen the best response.3it feels good sometimes that I am capable of helping  not just asking questions. tnx, and yw
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