Let A = {1, 2, {3, 4}, 5}. Which of the following statements are incor

1.	Let A = {1, 2, {3, 4}, 5}. Which of the following statements are incorrect and why? (i) {3, 4} ⊂ A (ii) {3, 4} ∈ A (iii) {{3, 4}} ⊂ A (iv) 1∈A (v) 1⊂A (vi) {1, 2, 5} ⊂ A (vii) {1, 2, 5} ∈ A (viii) {1, 2, 3} ⊂ A (ix) Φ∈A (x) Φ⊂A (xi) {Φ} ⊂ A.
Answer» Let A = {1, 2, {3, 4}, 5}. Which of the following statements are incorrect and why? (i) {3, 4} $\subset$ A (ii) {3, 4} $\in$ A (iii) {{3, 4}} $\subset$ A (iv) $1 \in A$ (v) $1 \subset A$ (vi) {1, 2, 5} $\subset$ A (vii) {1, 2, 5} $\in$ A (viii) {1, 2, 3} $\subset$ A (ix) $Φ \in A$ (x) $Φ \subset A$ (xi) { $Φ$ } $\subset$ A.

Let A = {1, 2, {3, 4}, 5}. Which of the following statements are incorrect and why? (i) {3, 4} ⊂ A (ii) {3, 4} ∈ A (iii) {{3, 4}} ⊂ A (iv) 1∈A (v) 1⊂A (vi) {1, 2, 5} ⊂ A (vii) {1, 2, 5} ∈ A (viii) {1, 2, 3} ⊂ A (ix) Φ∈A (x) Φ⊂A (xi) {Φ} ⊂ A.

Answer»

Let A = {1, 2, {3, 4}, 5}. Which of the following statements are incorrect and why?

(i) {3, 4} $\subset$ A (ii) {3, 4} $\in$ A

(iii) {{3, 4}} $\subset$ A (iv) $1 \in A$

(v) $1 \subset A$ (vi) {1, 2, 5} $\subset$ A

(vii) {1, 2, 5} $\in$ A (viii) {1, 2, 3} $\subset$ A

(ix) $Φ \in A$ (x) $Φ \subset A$

(xi) { $Φ$ } $\subset$ A.