Tell whether the statement shown below is true or false. If false, give the reason. {51, 52, 51, 52} = {51, 52} O A. False; the elements are not equal. OB. False; the elements cannot be repeated. O C. True OD. False; there must be the same number of elements.

Question

Alanna Thornton

Mathematics

2 March, 23:27

Tell whether the statement shown below is true or false. If false, give the reason. {51, 52, 51, 52} = {51, 52} O A. False; the elements are not equal. OB. False; the elements cannot be repeated. O C. True OD. False; there must be the same number of elements.

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Answers (1)

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Ashly Harmon · Answer 1

Option C. True

Step-by-step explanation:

The given sets are {51, 52, 51, 52} and {51, 52}

By the definition of equal sets says if two sets have the same elements, sets are called to be equal.

Cardinality of both the sets never affect the equality of the sets.

In the given sets number of elements are different but the elements are same.

Therefore, by the definition of the eqaulity both the sets are equal.

Option C. is the answer.