P = { x : –2 ≤ x ≤ 2, x ∈ Z} and set of all even numbers upto 11 are an example of ______.
A
Equal sets
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B
Disjoint set
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C
Power sets
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D
Equivalent sets
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Solution
The correct option is D Equivalent sets P = { x : –2 ≤ x ≤ 2, x ∈ Z}
P = {-2, -1, 0, 1, 2}
n(P) = 5
Let set of all even numbers upto 11 be 'B'
B = {2, 4, 6, 8, 10}
n(B) = 5
n(A) = n(B)
Both are equivalent sets.
Hence, option C is the correct answer.