State whether the following statements are true or false: (i) {a} ∈ {a,b,c} (ii) {a, b} = {a, a, b, b, a} (iii) The set {x: x + 8 = 8} is the null set.
State whether the following statements are true or false: (i) {a} ∈ {a,b,c} (ii) {a, b} = {a, a, b, b, a} (iii) The set {x: x + 8 = 8} is the null set.

Answers:

(iii) The statement is False

Reason – a is a subset of the set. So, it cannot be an element.

(iv) The statement is True

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

(v) The statement is False

Reason – The set is a single ton set {0}