**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

(iv) 1∈ A

**(v) 1⊂ A**

**(vi) {1, 2, 5} ⊂ A**

(vii) {1, 2, 5} ∈ A

(viii) {1, 2, 3} ⊂ A

(ix) Φ ∈ A

(vii) {1, 2, 5} ∈ A

(viii) {1, 2, 3} ⊂ A

(ix) Φ ∈ A

**(x) Φ ⊂ A**

**(xi) {Φ} ⊂ A**

Answer

**(i) Incorrect**

3 and 4 are not element of set A. {3, 4} is an element of A. Hence, statement is incorrect.

**(ii) Correct**

{3, 4} is an element of A. Hence statement is correct.

**(iii) Correct**

{3, 4} is an element of A. So that {{3, 4}} will a subset of set A. Hence, statement is correct.

**(iv) Correct**

1 is an element of set A so that 1∈ A. Hence, statement is correct.

**(v)Incorrect**

1 is an element of set A so that {1} ⊂ A. Hence, statement is Incorrect.

**(vi) Correct**

1, 2 and 5 are element of set A so that {1, 2, 5} ⊂ A. Hence given statement is correct.

**(vii) Incorrect**

1, 2 and 5 are element of set A so that {1, 2, 5} ⊂ A. Hence given statement is incorrect.

**(ix)Incorrect**

Φ is not an element of set A. Hence the statement Φ ∈ A is incorrect.

**(x)Correct**

Empty set Φ is a subset of each and every set. Hence given statement Φ ⊂ A is always true.

**(xi) Incorrect**

Φ is not an element of set A. Hence the statement {Φ } ⊂ A is incorrect.

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