A={1,2,3}. and B={2,2,1,3,3}. Is this an equivalent set? give reason for your answer
Answers
Answer:
Yes sets A and B are equal.
Step-by-step explanation:
Given A = (1,2,3) and B= (2,2,3,1,1)
The axiom of Extent states that:
Two sets A and B are identical if they have the same member, that is if every member of A is a member of B and every member of B is a member of A, then A = B. The members of A are 1, 2, and 3. Also the set B has the members 1,2, and 3.
Note that in set theory, order of listing of elements is unimportant. Second, a member is not counted more than once even if it occurs more than once. In Set B, 2 occurs twice; so also 1. But each of them is counted only once.
Hence the sets A and B are identical.
Answer:
Answer: Yes sets A and B are equal.
Explanation:
Given A = (1,2,3) and B= (2,2,3,1,1)
The axiom of Extent states that:
Two sets A and B are identical if they have the same member, that is if every member of A is a member of B and every member of B is a member of A, then A = B. The members of A are 1, 2, and 3. Also the set B has the members 1,2, and 3.
Note that in set theory, order of listing of elements is unimportant. Second, a member is not counted more than once even if it occurs more than once. In Set B, 2 occurs twice; so also 1. But each of them is counted only once.
Hence the sets A and B are identical.