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प्रश्न
State, if the following pair of a set is equal or not :
A = {2, 4, 6, 8} and B = {2n : n ∈ N and n < 5}
उत्तर
A = {2, 4, 6, 8} and
B = {2n : n ∈ N and n < 5}
When n = 1, 2n = 2 x 1= 2
When n = 2, 2n = 2 x 2= 4
When n = 3, 2n = 2 x 3= 6
When n = 4, 2n = 2 x 4= 8
∴ B = {2, 4, 6, 8}
Now we see that elements of sets A and B are the same (identical)
∴ Sets A and B are equal.
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