Q. 63.8( 21 Votes )

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Answer :

We know that when we write a set by defining its elements with a “common property”, we can say that the set is in set builder form.


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


3, 6, 9, 12 are the multiples of 3 and they are less than 13.


A={x: x is multiple of 3 & less than 13}


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


Here 2, 4, 8, 16, 32 are in the form of 21, 22, 23, 24, 25


Where 1, 2, 3, 4, 5 are the powers of 2 and power is less than 6.


B = {x: x is a power of 2x & x is less than 6}


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


Here 5, 25, 125, 625 are in the form of 51, 52, 53, 54.


Where 1, 2, 3, 4 are the powers of 5 and power is less than 5.


C = {x: x is a power of 5 & x is less than 5}


(iv){1, 4, 9, 16, 25 … 100}


Here 1, 4, 9 16, 25 … 100 are in the form of 12, 22, 32, 42, 52 … 102 where 1, 2, 3, 4, 5 … 10 are natural numbers and the given numbers are squares and not greater than 10.


D = {x : x in square of natural number and not greater than 10}


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