If A={x: x is an even natural number} and B={y:y is an odd natural number}, A ∩ B is:
Question
If A={x: x is an even natural number} and B={y:y is an odd natural number}, A ∩ B is:
Solution
The set A contains all even natural numbers and the set B contains all odd natural numbers. The intersection of two sets, denoted by A ∩ B, is the set containing all elements that are common to both sets.
In this case, there are no numbers that are both even and odd at the same time. Therefore, the intersection of set A and set B is an empty set.
So, A ∩ B = ∅.
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