Match each of the set on the left in the roster form with the same set on the right described in set-builder form:
$(i)$ $\{1, 2, 3, 6\}$ $(a)$ $\{x : x \text{ is a prime number and a divisor of } 6\}$ $(ii)$ $\{2, 3\}$ $(b)$ $\{x : x \text{ is an odd natural number less than } 10\}$ $(iii)$ $\{M, A, T, H, E, I, C, S\}$ $(c)$ $\{x : x \text{ is a natural number and divisor of } 6\}$ $(iv)$ $\{1, 3, 5, 7, 9\}$ $(d)$ $\{x : x \text{ is a letter of the word } MATHEMATICS\}$
| $(i)$ $\{1, 2, 3, 6\}$ | $(a)$ $\{x : x \text{ is a prime number and a divisor of } 6\}$ |
| $(ii)$ $\{2, 3\}$ | $(b)$ $\{x : x \text{ is an odd natural number less than } 10\}$ |
| $(iii)$ $\{M, A, T, H, E, I, C, S\}$ | $(c)$ $\{x : x \text{ is a natural number and divisor of } 6\}$ |
| $(iv)$ $\{1, 3, 5, 7, 9\}$ | $(d)$ $\{x : x \text{ is a letter of the word } MATHEMATICS\}$ |
(A) $(i)$ 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 $(b)$.
$(ii)$ 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 $(b)$.
Explore More
Similar Questions
Write the set $\{ \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7} \}$ in the set-builder form.
Easy
View SolutionAssume that $P(A) = P(B)$. Show that $A = B$.
Easy
View SolutionIf $P, Q$ and $R$ are subsets of $A$,then $R \times (P \cup Q) = $
Easy
View SolutionWhich of the following is a set? Justify your answer.
The collection of ten most talented writers of India.
The collection of ten most talented writers of India.
Easy
View SolutionWhich of the following is an example of the null set?
$\{ x : x \in \mathbb{N}, x < 5 \text{ and } x > 7 \}$
$\{ x : x \in \mathbb{N}, x < 5 \text{ and } x > 7 \}$
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo