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.

Asked by Aaryan | 1 year ago |  31

Solution :-

(i) Right answer is True

Explanation:-

1 belongs to the given set {1, 2, 3} as it is present in it.

(ii) Right answer is False

Explanation:-

Since, a is an element and not a subset of a set {b, c, a}

(iii) Right answer is False

Explanation:-

Since, {a} is a subset of set {b, c, a} and not an element.

(iv) Right answer is True

Explanation:-

We do not repeat same elements in a given set.

(v) Right answer is False

Explanation:-

Given, x+8 = 8

i.e. x = 0

So, the given set is a singleton set {0}. Where it is not a null set.

Answered by Sakshi | 1 year ago

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