Question

Which of the following set is equivalent to set A= {a,b,c,d,e}"

None of these
B= {1,2,3,4,5)
B= (-1,0,2,4)
B= {C, a, b, f}​

Answer 1

Answer:

None of these

Answer 2

Answer: Set B= {1,2,3,4,5} is equivalent to set A= {a,b,c,d,e} as both sets consists of same number of elements.

Step-by-step explanation:

• The sets must share the same cardinality in order to be equivalent. This implies that each element in both sets should match the other exactly. In this case, one-to-one correspondence means that until the sets are full, there is an element in the set B for each element in set A.

• Definition 1: If an objective function exists from set A to set B, then two sets A and B have the same cardinality.

• Definition 2: If two sets A and B have the same cardinality,
  n(A) = n(B) then they are said to be equivalent 

• In general, we can state that two sets are equivalent to one another if they contain an equal amount of elements. Furthermore, it's not essential that they share elements or form a subset of one another.

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