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Question

Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8 }}. Determine whch of the following is true or false :

(i) 1 ϵ A (ii) {1, 2, 3} A (iii) {6, 7, 8} ϵ A (iv) {{4, 5}} A (v) ϕ ϵ A


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    Solution

    (i) False, 1 is not an element of A.

    (ii) False, {1, 2, 3} is not a subset of A, it is an element of A.

    (iii) True, {6, 7, 8} is indeed an element of A.

    (iv) True, {{4, 5} } is indeed a subset of A.

    (v) False , ϕ is a subset and not an element of A.

    (vi) True, ϕ is a subset of every set, and hence a subset of A.


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