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Questions and Answers
Which of the following sets is equivalent to the set {3, 4, 5}?
Which of the following sets is equivalent to the set {3, 4, 5}?
- {3, 4, 5, 6}
- {1, 2, 3} (correct)
- {1, 2, 3, 4, 5}
- {3, 4, 5, 5}
What is the intersection of the sets A = {1, 2, 3} and B = {3, 4, 5}?
What is the intersection of the sets A = {1, 2, 3} and B = {3, 4, 5}?
- {3} (correct)
- {1, 2, 4, 5}
- {1, 2, 3}
- {3, 4, 5}
If U is the universal set, and A = {2, 4, 6}, what is the union of A and the empty set?
If U is the universal set, and A = {2, 4, 6}, what is the union of A and the empty set?
- {}
- Universal set U
- {2, 4, 6, U}
- {2, 4, 6} (correct)
What is the difference between the sets A = {1, 2, 3} and B = {3, 4, 5}?
What is the difference between the sets A = {1, 2, 3} and B = {3, 4, 5}?
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What is the power set of the set {a, b, c}?
What is the power set of the set {a, b, c}?
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Study Notes
Set Operations
- The set {3, 4, 5} is equivalent to itself, as it has the same elements.
Intersection of Sets
- The intersection of sets A = {1, 2, 3} and B = {3, 4, 5} is {3}, as it is the only element common to both sets.
Union of Sets
- The union of set A = {2, 4, 6} and the empty set is A itself, as the empty set has no elements to add to A.
Difference of Sets
- The difference between sets A = {1, 2, 3} and B = {3, 4, 5} is {1, 2}, as these are the elements in A but not in B.
Power Set
- The power set of {a, b, c} is the set of all possible subsets, including the empty set and the original set, and is represented as {{}, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}}.
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