Question

Which of the following is true? *
1. 0∈{ }
2. 0∉{0}
3. {0}⊂{ }
4. { }⊂{ }

Answer 1

Answer:

I think options 4 is correct

Answer 2

Answer:

It is given that A=(1,2,(3,4),5)

(i)The statement (3,4)⊂A is incorrect because 3∈(3,4); however, 3∈

/

A.

(ii) The statement (3,4)∈A is correct because (3,4) is an element of A.

(iii) The satement ((3,4))⊂A is correct because (3,4)∈((3,4)) and (3,4)∈A.

(iv) The statement 1∈A is correct because 1 is an element of A.

(v) The statement 1⊂A is incorrect because an element of a set can never be a subset of itself.

(vi) The statement (1,2,5)⊂A is correct because each element of (1,2,5) is also an element of A.

(vii) The statement (1,2,5)∈A is incorrect because (1,2,5) is not an element of A.

(viii) The statement (1,2,3)⊂A is incorrect because 3∈(1,2,3); however, 3∈

/

A.

(ix) The statement



◯∈A is incorrect because



◯ is not an element of A.

(x) The statement



◯⊂A is correct because



◯ is a subset of every set.

(xi) The statement (



◯)⊂A is incorrect because



◯ is a subset of A and it is not an element of A.