2^9 = 512 different subsets.
Note this includes both the empty set Ø and set A itself.
3. Given the following set, select the statement below that is true.
V = {a, e, i, o, u}
i ∈ V: True! i is an element of V.
V Ø: Was this supposed to be "V=Ø"? V has more than zero elements so it is NOT the empty set.
e ∉ V: False! e is an element of V.
5 ∈ V: False! 5 is not an element of V.
v ∈ V: False! v is not an element of V.
Given these sets:
A = {1, 2, 3, 4}
B = {3, 4, 5, 6, 7}
C = {3, 5, 7, 9}
List the elements of this set
B ∩ (A C)
It looks as though some operator, placed between A and C, did not copy correctly. I'll try the most obvious possibilities for this expression.
B ∩ (A ∪ C)
= B ∩ ( {1, 2, 3, 4} ∪ {3, 5, 7, 9} )
= {3, 4, 5, 6, 7} ∩ {1, 2, 3, 4, 5, 7, 9}
= {3, 4, 5, 7}
B ∩ (A ∩ C)
= B ∩ ( {1, 2, 3, 4} ∩ {3, 5, 7, 9} )
= {3, 4, 5, 6, 7} ∩ {3}
= {3}