Equivalent Sets

Q.

If A = {letters of the word CRICKET} and B = {letters of the word HOCKEY}, then A and B are ___.

1. equal sets

2. infinite sets

3. equivalent sets

4. disjoint sets

Q. If $A=\{x:x<5,x\text{is a natural number}\}$ and $B=\{x:-1<x<5,x\text{is an integer}\}$, then what's the relation between set A and B ? Give reason.
$\left[2Mark\right]$

Q.

If A = {set of whole numbers < 5} and B = {set of natural numbers < 6}, then A and B are________.

1. equal sets

2. equivalent sets

3. null sets

4. singleton sets

Q. Find four rational numbers equivalent to each of the following.

(i) $\frac{6}{11}$
(ii) $\frac{-3}{8}$
(iii) $\frac{7}{-15}$
(iv) 8
(v) 1
(vi) −1

Q. Does equal sets and equivalent set mean the same?

Q. ntwhat is meant by 1g equivalentn ntn

Q.

If $X=\{Naturalnumbers\}$ and $Y=\{Positiveintegers\}$ then write down the elements of $X\&Y$.State whether the sets $X\&Y$ are equivalent.Are they equal?

Q. Set P = {Sum of natural numbers from 1-10} and set Q = {Even Prime Numbers} , the given sets are :

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

Q.

All equal sets are ___.

1. Null

2. Singleton

3. Joint

4. Equivalent

Q.

All equal sets are ___ .

1. Joint

2. Singleton

3. Null

4. Equivalent

Q.

All equivalent sets are___ .

1. Singleton

2. Equal

3. Not equal

4. Null

Q.

$A=\{x:x\in N,x\le 5\}$ and $B=\{y:y\in Zand-30\le y<-25\},$ then A and B are

1. The vowels in the English alphabet

2. All natural numbers which divide 42

3. Names of 10 most renowned actors

4. Names of rivers in India

Q. Which of the following are pairs of equivalent rational numbers?

(i) $\frac{-13}{7},\frac{39}{-21}$
(ii) $\frac{3}{-8},\frac{-6}{16}$
(iii) $\frac{9}{4},\frac{-36}{-16}$
(iv) $\frac{7}{15},\frac{-28}{60}$
(v) $\frac{3}{12},\frac{-1}{4}$
(vi) $\frac{2}{3},\frac{3}{2}$

Q. Set A = {4, 6, 12, 15, 22, 56, 43, 123, 345} and Set B = {2, 3, 5, 7, 9, 11, 13, 15, 4}. These 2 sets are :

1. Disjoint sets
2. Equivalent sets
3. Equal sets
4. Joint(Overlapping) sets