Representation of Sets

Q.

The roster form of the set A = {Whole numbers less than or equal to 8} is __________.

Q.

The roster form of the set $A=\{x:x=\frac{n}{2n+1},n\in N\text{and}n<4\}$ is ___. (Here, N stands for the set of natural numbers)

1. $A=\{\frac{1}{2},\frac{2}{3},\frac{3}{5}\}$

2. $A=\{\frac{1}{3},\frac{2}{5},\frac{3}{7}\}$

3. $A=\{\frac{1}{3},\frac{1}{5},\frac{1}{7}\}$

4. $A=\{\frac{2}{3},\frac{2}{5},\frac{2}{7}\}$

Q.

Let $A$ be the set of all even whole numbers less than $10$. Write A in roster form.

Q.

The set $\{\frac{7}{8},\frac{8}{9},\frac{9}{10},\frac{10}{11},\frac{11}{12}\}$ expressed in set-builder form is ____. (Here, N represents the set of natural numbers.)

1. $\{x:x=\frac{n}{n+1},n\in N,7<n<11\}$

2. $\{x:x=\frac{7n}{7n+1},n\in N\}$

3. $\{x:x=\frac{n}{n+1},n\in N\}$

4. $\{x:x=\frac{n}{n+1},n\in N,7\le n\le 11\}$

Q.

Express the following sets in the set-builder form.

$\{1,2,13,26\}$

Q.

4. Write the set of letters of the following words in Roster form.
i)PRINCIPAL
ii)INDIA
$\left[2\right]$

Q.

Write the roaster form for the given set:

“Set of natural numbers less than 6.”

Q.

The elements of the set $A=\{x:x\in Z,-\frac{3}{2}<x<\frac{11}{2}\}$ are ______ (Here, $Z$ stands for the set of integers).

1. -1, 0, 1, 2, 3, 4, 5, 6
2. -1, 0, 1, 2, 3, 4, 5
3. -2, -1, 0, 1, 2, 3, 4, 5
4. -3, -2, -1, 0, 1, 2, 3, 4, 5

Q. Sets having no element in common are called:

1. Equivalent sets
2. Joint sets
3. Disjoint sets
4. Equal sets

Q.

The set builder form of "A is the set of whole numbers which are divisible by 5 and are less than 35" is _______________.

1. A = {$x:x=5n,n\in W,n<7$}

2. A = {$x:x=5n,n\in W$}

3. A = {$x:x=5n,n<7$}

4. A = {$x:x=5n,n\in W,n\le 7$}

Q.

Write the roster form for the given set:

$\left\{m|misamonthofayearandmstartswithletterJ\right\}$

Q.

Write the roster form for the given set:

$\left\{m|misamonthofayearandmstartswithletterJ\right\}$

Q. The set of natural numbers less than 15 and divisible by 3 in roster form is .

1. $\{3,6,9,12\}$
2. $\{1,2,6,9,12\}$
3. $\{1,3,5,12,15\}$
4. $\{3,6,9,12,15\}$

Q. Match the sets in the roster form with the description given.

1. {2, 4, 6, 8}
2. {1, 2, 3, 4, 6, 12}
3. {2, 3, 5, 7}
4. {2, 3}

Q.

$A=\{x:x\in R,x^2=16\text{and}2x=6\}$ can be represented in the roster form as _________ .

1. A = {}

2. A = { 14, 3, 4 }

3. A = { 3 }

4. A = { 4 }

Q. The set {$x:x$ is a letter in the word SELECT} in roster form is

1. $\{S,E,L,C,T\}$
2. $\{S,E,L\}$
3. $\{S,E,L,C\}$