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}\} $

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$(i)$ All the elements of this set are natural numbers as well as the divisors of $6 .$ Therefore, $(i)$ matches with $(c).$

$(ii)$ It can be seen that $2$ and $3$ are prime numbers. They are also the divisors of $6 .$ Therefore, $(ii)$ matches with $(a).$

$(iii)$ All the elements of this set are letters of the word $MATHEMATICS.$ Therefore, $(iii)$ matches with $(d).$

$(iv)$ All the elements of this set are odd natural numbers less than $10 .$ Therefore, $(iv)$ matches with $(b).$

Similar Questions

Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?

$\{1,2,3\}\subset A$

In the following state whether $A=B$ or not :

$A=\{4,8,12,16\} ; B=\{8,4,16,18\}$

Find the pairs of equal sets, if any, give reasons:

$A = \{ 0\} ,$

$B = \{ x:x\, > \,15$ and $x\, < \,5\} $

$C = \{ x:x - 5 = 0\} ,$

$D = \left\{ {x:{x^2} = 25} \right\}$

$E = \{ \,x:x$ is an integral positive root of the equation ${x^2} - 2x - 15 = 0\,\} $

Examine whether the following statements are true or false :

$\{ a\}  \in \{ a,b,c\} $

Which of the following are sets ? Justify your answer.

The collection of all natural numbers less than $100 .$