Question

write the following sets in the set builder form (1) {3,6,9,12} (2) {2,4,8,16,32} (3) {5,25,125,625} ?

Answer 1

Hello friend
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As we all know that there are two Methods of writing sets.

⭐ Listing Method or roster Method.

In this method,we write all the elements of a set in curly bracket.Each of the elements is written only once and separated by commas.

eg. the set of odd numbers between 1 to 10
we can write as

A = { 3,5,7,9 }

⭐ Rule method or set builder form.

In this method,we do not write the list of elements but write the general elements using variable followed by a vertical line or colon and write the property of the variable.

eg. A = { x | x € N,1 < x < 10 }and read as set 'A' is the set of all x such that 'x' is a natural number between 1 and 10.

So,lets Solve your examples.

1.) A = { 3,6,9,12 }

=) In set builder form

=) A = { x|x is a multiple of 3 and is less 15 }


2.) A = { 2,4,8,16,32 }

=) In set builder form

=) A = { x|x is a multiple of 2 and is less than 34 }


3.) A = { 5,25,125,625 }

=) In set builder form

=) A = { x|x is a multiples of 5 and is less than 630 }

I hope this will helps you....

Thanks.

Answer 2

Answer:

(x:x=3n,n E N 1< n<4)

Step-by-step explanation:

alternately,(x:xis a multiple of 3andx<12)