SOLUTION: True or False? if A⊆B and b∈B then b∈A?

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Question 187192: True or False?
if A⊆B and b∈B then b∈A?

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
False
There are many A ⊆ B. Any proper subset of B will be missing at least one element of B. So, in your problem, if 'b' is one of the elements that is 'left out of the subset', then b ∈ B but not an ∈ of A
As an example, assume B = {1, 2, 3, 4}
Let A = {1,2}. In this case both 3 and 4 are ∈ B. While neither is ∈ A