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avatar+1196 

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.

 Sep 14, 2019
 #1
avatar+791 
+1

Welcome back logic nice to see you again...

 

...but sadley i dont have an answer...

 Sep 14, 2019
 #2
avatar+1196 
+1

Nice to see you too.

 Sep 14, 2019
 #3
avatar+104723 
+1

Floor (t)  =  2t + 3

 

First off.... "t"  cannot be positive

 

A graph  might give us a clue  .....here : https://www.desmos.com/calculator/ugdkn4zwei

 

Note that the graph  appears to pass through the t values of  -3, - 3.5  and -4

 

Check

 

Floor (-3)  = 2(-3) + 3      ????

-3   = -3       true

 

Floor (-3.5)  =  2(-3.5) + 3  ???

-4  = -7 + 3   ???

-4 = -4   true

 

Floor (-4)  = 2(-4) + 3   ???

-4  = -8 + 3   ???

-4  =  -5    not true

 

So.....the values of  "t"  that make this true are    

 

-3.5 , -3

 

 

cool cool cool

 Sep 14, 2019

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