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Question
If A = {x : x is a natural number}, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number}, find:
A ∩ B
Solution
Here, A = {x : x is a natural number} = {1, 2, 3, 4, 5, …}
B = {x : x is an even natural number} = {2, 4, 6, 8, …}
C = {x : x is an odd natural number} = {1, 3, 5, 7, 9, …}
D = {x : x is a prime number} = {2, 3, 5, 7, …}
A ∩ B = {x : x is a natural number} ∩ {x : x is an even natural number}
= {x : x is an even natural number} = B
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