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Let A = {ϕ, {ϕ}, 1, {1, ϕ}, 2}. Which of the following are true? (i) ϕ ∈ A (ii) {ϕ} ∈ A (iii) {1} ∈ A (iv) {2, ϕ} ⊂ A (v) 2 ⊂ A (vi) {2, {1}} ⊄A (vii) {{2}, {1}} ⊄ A (viii) {ϕ, {ϕ}, {1, ϕ}} ⊂ A (ix) {{ϕ}} ⊂ A. |
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Answer» (i) True Φ is a member of set A. Hence, true. (ii) True { Φ} is a member of set A. Hence, true. (iii) False 1 alone is not a member of A. Hence, false. (iv) False We can see that 2 is a member of set A, {2, Φ} is not. Hence, false (v) True 2 is a member of set A. Hence, true. (vi) True {1} is not a member of set A. (vii) True Neither {2} and nor {1} is a member of set A. Hence, true. (viii) True All three are members of set A. Hence, true. (ix) False {{ϕ}} is not a member of set A. Hence, false |
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