1:Set {0}have closure property or not w.r.t both * and+
2:{0,1} have closure property or not w.r.t both * and+
please explain your answer
****!THANKS 4 SPENDING YOUR PRECIOUS TIME!****
I'll do number 2, you do number 1.
In order for a set S to be closed under some operation #, we require that the operation a#b is in S for all a, b belonging to S.
Define
Then let's do +:
So S is not closed under +.
Now let's look at *:
So S is closed under *.
-Dan