Please help with these math problems
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Please help with these math problems

[From: ] [author: ] [Date: 12-08-20] [Hit: ]
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!......
Each of these may be either excluded or included in any subset. Combining these options for all 9 elements yields
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}
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