Q. If A = {2, 4, 6} and B = {1, 2, 3}, what is A ∩ B?
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A.
{2}
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B.
{4, 6}
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C.
{1, 2, 3}
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D.
{}
Solution
The intersection A ∩ B includes elements that are in both A and B. Here, A ∩ B = {2}.
Correct Answer:
A
— {2}
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Q. If A = {x | x is a prime number less than 10}, what is A?
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A.
{2, 3, 5, 7}
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B.
{1, 2, 3, 4}
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C.
{2, 4, 6, 8}
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D.
{3, 5, 7, 9}
Solution
The prime numbers less than 10 are 2, 3, 5, and 7. Therefore, A = {2, 3, 5, 7}.
Correct Answer:
A
— {2, 3, 5, 7}
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Q. If A = {x | x is an even number} and B = {x | x is a multiple of 3}, what is A ∪ B?
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A.
{0, 2, 4, 6, ...}
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B.
{0, 3, 6, 9, ...}
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C.
{0, 2, 3, 4, 6, 9, ...}
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D.
{0, 1, 2, 3, ...}
Solution
The union A ∪ B includes all even numbers and all multiples of 3. Thus, A ∪ B = {0, 2, 3, 4, 6, 9, ...}.
Correct Answer:
C
— {0, 2, 3, 4, 6, 9, ...}
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Q. If U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A'?
-
A.
{3, 4, 5}
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B.
{1, 2}
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C.
{1, 2, 3}
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D.
{}
Solution
The complement A' consists of all elements in U that are not in A. Therefore, A' = {3, 4, 5}.
Correct Answer:
A
— {3, 4, 5}
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