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mathmath333
 one year ago
Greatest integer function
mathmath333
 one year ago
Greatest integer function

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mathmath333
 one year ago
Best ResponseYou've already chosen the best response.2\(\large \color{black}{\begin{align} & \lfloor{\ \rfloor}=\normalsize \text{greatest integer function }\hspace{.33em}\\~\\ & x \in \mathbb{N} \hspace{.33em}\\~\\ & \normalsize \text{and }\hspace{.33em}\\~\\ & \lfloor{\dfrac{x}{8}\rfloor}=\lfloor{\dfrac{x}{11}\rfloor}\hspace{.33em}\\~\\ & \normalsize \text{find how many values 'x' can take. }\hspace{.33em}\\~\\ \end{align}}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you put a restriction on \(x\) ? think of it as \(x\) can not be greater than some positive integer, say \(N\)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.2value of \(\large \color{black}{\begin{align} & \lfloor{\dfrac{x}{8}\rfloor}=\lfloor{\dfrac{x}{11}\rfloor}\hspace{.33em}\\~\\ \end{align}}\) is same for \(\large \color{black}{\begin{align} x< 8\hspace{.33em}\\~\\ \end{align}}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If you continue this procedure you can find that \(N\), which I mentioned and all of solutions to the equation

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.2for \(11\le x <16\) it satisfies
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