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Q1. If A = {x | x is an even number} and B = {x | x is a multiple of 3}, what is A ∪ B?
Solution:
The union A ∪ B includes all even numbers and all multiples of 3. Thus, A ∪ B = {0, 2, 3, 4, 6, 9, ...}.
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Q2. If A = {x | x is a prime number less than 10}, what is A?
Solution:
The prime numbers less than 10 are 2, 3, 5, and 7. Therefore, A = {2, 3, 5, 7}.
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Q3. If U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A'?
Solution:
The complement A' consists of all elements in U that are not in A. Therefore, A' = {3, 4, 5}.
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Q4. If A = {2, 4, 6} and B = {1, 2, 3}, what is A ∩ B?
Solution:
The intersection A ∩ B includes elements that are in both A and B. Here, A ∩ B = {2}.
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