Let A = {x : x = 6n∈N) and B = {x : x = 9n, n ϵ N}, find A ∩ B.
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Let A = {x : x = 6n∈N) and B = {x : x = 9n, n ϵ N}, find A ∩ B.
Let A = {x : x = 6n∈N) and B = {x : x = 9n, n ϵ N}, find A ∩ B.
A = {x : x = 6n ∀ n ∈ N)
As x = 6n hence for n = 1, 2, 3, 4, 5, 6… x = 6, 12, 18, 24, 30, 36…
Hence A = {6, 12, 18, 24, 30, 36…}
B = {x : x = 9n ∀ n ∈ N)
As x = 9n hence for n = 1, 2, 3, 4… x = 9, 18, 27, 36…
Hence B = {9, 18, 27, 36…}
A ∩ B means common elements to both sets
The common elements are 18, 36, 54, …
Hence A ∩ B = {18, 36, 54, …}
All the elements are multiple of 18
Hence A ∩ B = {x: x = 18n ∀ n ∈ N}