Rewrite the following statements using the set notation:
Question:

Rewrite the following statements using the set notation:

(i) $\mathrm{a}$ is an element of set $\mathrm{A}$.

(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.

 

Solution:

(i) Given: a is an element of set A

this means a $\in \mathrm{A}$

(ii) Given: $b$ is not an element of $A$

this means $\mathrm{b} \notin \mathrm{A}$

(iii) Given: $A$ is an empty set

and $B$ is a non-empty set

this means $\mathrm{A}=\phi$

and $B \neq \phi$

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

This means, $|\mathrm{A}|=6$

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

This means 0 ∈ W but 0 ∉ N

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