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Which of the following statements are true? Give a reason to support your answer. (v) {a, b, a, b, a, b,….} is an infinite set. (i) {a, b, c} and {1, 2, 3} are equivalent sets. (ii) A set can have infinitely many subsets.
Which of the following statements are true? Give a reason to support your answer. (v) {a, b, a, b, a, b,….} is an infinite set. (i) {a, b, c} and {1, 2, 3} are equivalent sets. (ii) A set can have infinitely many subsets.
CBSE | Class 11 | Exercise 1.4 | Maths | RD Sharma | Sets
Which of the following statements are true? Give a reason to support your answer. (v) {a, b, a, b, a, b,….} is an infinite set. (i) {a, b, c} and {1, 2, 3} are equivalent sets. (ii) A set can have infinitely many subsets.

Answers:

(v) The statement is False.

Reason – Repetition is not allowed in the elements of a set.

(vi) The statement is True.

Reason – The equivalent sets have same number of elements.

(vii) The statement is False.

Reason –  Subsets can be ϕ and {1} which are finite.

i

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