Question

Express each of the follownig sets in set-builder notation (form):

(iv) $\{0,2,4,6,8,10,12\dots \}$

Answer 1

Step: Expressing the given set in set-builder form

In set builder method the actual elements of the set are not written, but a rule or a statement or a formula is written in the briefest possible way

$\text{Given set}=\{0,2,4,6,8,10,12,\dots \dots \}$

We can see that the elements of given set are whole numbers divisible by 2.

Hence, the set-builder form of the given set is $\{x:x\text{divisible by 2 and}x\in w\}.$