Question 198366: I really don't understand please help.
1.Given U = {All letters of the alphabet}, A = {c, d, e, f}, and B = {e, f, g, h, k}. List the elements of set
(a) A U B
(b) A ∩ B
(c) A′ ∩ B′
(d) A′ U B′
(e) A U B′
(f) (A U B′) ∩ B
(g) (A U B) ∩ (A U B′
Found 2 solutions by jim_thompson5910, ahmadsolehin:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Recall, the following definitions:
Complement: A complement of a set is simply a set with the elements of the universal set, but NOT the the elements of the given set.
Example: set A = {1, 2, 3} and the universal set is all whole numbers. So A' (the complement of A) is the set of all whole numbers but NOT 1, 2, or 3
Union: A set union is the combination of two sets.
Example: set A={1, 2, 3}, set B={a, b, c} which means that A U B = {1, 2, 3, a, b, c}
Intersection: A set intersection between two sets yields a new set of all the common elements between the two given sets.
Example: A={a, b, d, e}, set B={a, b, c} means that A ∩ B = {a, b}
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Now on to your problems...
Start with the given sets:
Find their respective complement sets:
a) Simply combine the two sets A and B (and remove the duplicates) to get
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b) Now find all the common elements between the two sets to get
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c) Find all the common elements between the two sets A' and B' to get
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d) Combine the two sets A' and B' (and remove the duplicates) to get
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e) Now combine sets A and B':
I'll leave the last two to try on your own. Let me know if you still need help.
Answer by ahmadsolehin(6)  (Show Source):
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