1.

Rewrite the following statements using the set notation: (i) a is an element of set A. (ii) b is not an element of A. (iii) A is an empty set and B is a nonempty set. (iv) A number of elements in A is 6. (v) 0 is a whole number but not a natural number.

Answer»

(i) Given: a is an element of set A 

this means a ∈ A 

(ii) Given: b is not an element of A 

this means b ∉ A 

(iii) Given: A is an empty set 

and B is a non – empty set 

this means A = ɸ 

and B ≠ ɸ 

(iv) Given: In set A, total number of elements is 6 

This means, |A| = 6

(v) Given: 0 is a whole number but not a natural number 

This means 0 ∈ W but 0 ∉ N



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