Question

Q.Write the following sets in the set-builder form:
(i) (3,6,9,12)
(ii) {2,4,8,16,32}
(iii) {5,25,125,625}​

Answer 1

$\huge \bold{ \underline{ \underline{{Question}}}}$

Q.Write the following sets in the set-builder form:

(i) (3,6,9,12)

(ii) {2,4,8,16,32}

(iii) {5,25,125,625}

$\huge \bold{ \underline{ \underline{ \red{Concept}}}}$

We all know that there are two Methods of writing sets.

• $\bold{Listing \: Method \: or \: roster \: Method.}$

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}

• $\bold{Rule \: method \: or \: set \: builder \: form.}$

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.

$\huge\bold{ \underline{ \underline{ \orange{Solution}}}}$

$\bold{1.) A = (3,6,9,12)}$

=) In set builder form

=) A = {xlx is a multiple of 3 and is less15}

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

=) In set builder form

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

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

=) In set builder form

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

$\huge\bold{ \underline{ \underline{ \blue{@WildCat7083}}}}$