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Find all values of t such that .\(\lfloor t\rfloor = 2t + 3\) If you find more than one value, then list the values you find in increasing order, separated by commas.

 Jun 19, 2020
 #1
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The possible values of t are 7/3, 8/3, and 3.

 Jun 19, 2020
 #2
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\(\lfloor t\rfloor = 2t + 3\\ t \le 2t + 3

also

2t+3 must be an integer

so t must be a multiple of a half

 

so maybe  t=-3   or t=-2.5

sub in and t=-3 works but t=-2.5 does not

so

I only get one answer  t=-3

 

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LaTex:

\lfloor t\rfloor = 2t + 3\\
t \le 2t + 3 0\le t + 3<1\\
-3\le t <-2\\

 Jun 19, 2020
 #3
avatar+794 
0

Thank you!

AnimalMaster  Jun 19, 2020

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