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Let A = {a, b,{c, d}, e}. Which of the following statements are false and why?(i) {c, d} ⊂ A(ii) {c, d} A(iii) {{c, d}} ⊂ A(iv) a A(v) a ⊂ A.(vi) {a, b, e} ⊂ A(vii) {a, b, e} A(viii) {a, b, c} ⊂ A(ix) ϕ A(x) {ϕ} ⊂ A |
Answer» (i) False Since, {c, d} is not a subset of A but it belong to A. Hence, {c, d} ∈ A (ii) True Thus, {c, d} ∈ A (iii) True Since, {c, d} is a subset of A. (iv) Here, it is true that a belongs to A. (v) False Here, a is not a subset of A but it belongs to A (vi) True Thus, {a, b, e} is a subset of A. (vii) False Since, {a, b, e} does not belong to A, {a, b, e} ⊂ A this is the correct form. (viii) False Here, {a, b, c} is not a subset of A (ix) False Since, ϕ is a subset of A. Hence, ϕ ⊂ A. (x) False Hence, {ϕ} is not subset of A, ϕ is a subset of A. |
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