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Question -

State whether the following statements are true or false:
(i) 1 ∈ { 1,2,3}
(ii) a ⊂ {b,c,a}
(iii) {a} ∈ {a,b,c}
(iv) {a, b} = {a, a, b, b, a}
(v) The set {x: x + 8 = 8} is the null set.



Answer -

(i) True
1 belongs to the given set {1, 2, 3} as it is present in it.
(ii) False
Since, a is an element and not a subset of a set {b, c, a}
(iii) False
Since, {a} is a subset of set {b, c, a} and not an element.
(iv) True
We do not repeat same elements in a given set.
(v) False
Given, x+8 = 8
i.e. x = 0
So, the given set is a singleton set {0}. Where it is not a null set.

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