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If \(x\) is a real number and \(\lfloor x \rfloor = -9\) how many possible values are there for \(\lfloor 5x \rfloor\)?

 Dec 9, 2018

Best Answer 

 #2
avatar+3576 
+1

\(\lfloor x \rfloor = -9 \Rightarrow x \in [-9,-8)\\ 5x \in [-45,-40)\\ \text{so }\lfloor 5x \rfloor \in \{-45, -44, -43, -42, -41\}\\ \text{5 possible values}\)

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 Dec 9, 2018
 #1
avatar+812 
0

I forgot what  \( |_x_|\) means...

 #2
avatar+3576 
+1
Best Answer

\(\lfloor x \rfloor = -9 \Rightarrow x \in [-9,-8)\\ 5x \in [-45,-40)\\ \text{so }\lfloor 5x \rfloor \in \{-45, -44, -43, -42, -41\}\\ \text{5 possible values}\)

Rom Dec 9, 2018

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