explain me the set builder form method?

Hi Urwashi!

 

In set-builder representation of a set, all the elements of the set have a single common property that is exclusive to the elements of the set i.e., no other element outside the set has that property.

In set-builder form, we describe an element of a set by a symbol x (though we may use any other small letter), which is followed by a colon (:). After the colon, we describe the characteristic property possessed by all the elements of that set.

 

For example, consider a set L as L = {6, 7, 8}

 

This set can be written in set-builder form as:
L = {x: x is an integer greater than 5 and less than 9}

 

Another way of writing the set L in set builder form as:

L = {x: (x – 6) (x – 7) (x – 8) = 0}

 

Thus, given set may be written in set builder forms in different ways.

 

There is no special rule to write a given set in set-builder form.

We just write it by observing it.

 

Hope! This will be helpful to you.

Cheers!!!