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.
\(\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
------------------------------------
LaTex:
\lfloor t\rfloor = 2t + 3\\
t \le 2t + 3 0\le t + 3<1\\
-3\le t <-2\\