Write the following sets in the set-builder form :

$\{ 2,4,6 \ldots \} $

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$\{2,4,6 \dots\}$

It is a set of all even natural numbers.

$\therefore \{ 2,4,6 \ldots \}  = \{ x:x{\rm{ }}$ is an even natural number ${\rm{ }}\} $

Similar Questions

Let $S = \{ 0,\,1,\,5,\,4,\,7\} $. Then the total number of subsets of $S$ is

Match each of the set on the left in the roster form with the same set on the right described in set-builder form:

$(i)$ $\{1,2,3,6\}$ $(a)$ $\{ x:x$ is a prime number and a divisor $6\} $ 
$(ii)$ $\{2,3\}$ $(b)$ $\{ x:x$ is an odd natural number less than $10\} $
$(iii)$ $\{ M , A , T , H , E , I , C , S \}$ $(c)$ $\{ x:x$ is natural number and divisor of $6\} $
$(iv)$ $\{1,3,5,7,9\}$ $(d)$ $\{ x:x$ a letter of the work $\mathrm{MATHEMATICS}\} $

Write the following sets in the set-builder form :

${\rm{\{ 2,4,8,16,32\} }}$

Which of the following pairs of sets are equal ? Justify your answer.

$\mathrm{X} ,$ the set of letters in $“\mathrm{ALLOY}"$ and $\mathrm{B} ,$ the set of letters in $“\mathrm{LOYAL}”.$

Which of the following is a true statement