Question
Download Solution PDFLet, A = {(2n, 3n): n ϵ N} and B = {(3n, 5n): n ϵ N}. What is (A ∩ B) equal to?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The intersection of two sets X and Y is the set of elements that are common to both set X and set Y. It is denoted by X ∩ Y and is read ‘X intersection Y ’
Calculation:
A = {(2n, 3n): n ϵ N}
= {(2, 3), (4, 6), (6, 9), ………} And
B = {(3n, 5n): n ϵ N}
= {(3, 5), (6, 10), (9, 15), ………}
There is no member common to both the sets
∴ A ∩ B = ϕ
Hence, option (4) is correct.Last updated on Jul 11, 2025
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