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If y>0, find the range of all possible values of  y such that \(\lceil{y}\rceil\cdot\lfloor{y}\rfloor=42 \). Express your answer using interval notation.

mathtoo  Aug 6, 2018
 #1
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If \(y>0\), find the range of all possible values of  \(y\)  such that  \(\lceil{y}\rceil\cdot\lfloor{y}\rfloor=42.\)

\lceil{y}\rceil\cdot\lfloor{y}\rfloor=42

Express your answer using interval notation.

 

\(6 \lt y \lt 7\)

 

Source:

 

laugh

heureka  Aug 6, 2018
edited by heureka  Aug 6, 2018
 #2
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Mathematica 11 Home Edition gives the following 2  values:
solve ceiling({y}) floor({y}) = 42 for y

-7 < y < -6          and        6 < y < 7

Guest Aug 6, 2018
 #3
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Thanks, guys! 

mathtoo  Aug 6, 2018

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