Properties of a Set

Q. Sets $A$ and $B$ are equivalent if ___

1. $A$ and $B$ are equal.
2. $n\left(A\right)=n\left(B\right)$
3. $n\left(A\right)<n\left(B\right)$
4. None of the above.

Q.

Rewrite the set of vowels in the word ‘FILL’ using set builder method.

Q.

If $V=\left\{vowelsinEnglishalphabet\right\}$, write which of the following statements are true and which are false :

$a,e,i\in V$

1. True
2. False

Q. If $A=\{x:2<x<7,x\text{is a prime number}\}$ and $B=\left\{\text{Odd numbers between 1 and 7}\right\}$, then $A$ and $B$ are ____ sets.

1. disjoint
2. overlapping
3. equal
4. equivalent

Q.

Check the given collection is set? If not a set, give reason

Counting number between $30$ and $40$

Q.

3. If $V=\left\{vowelsinEnglishalphabet\right\}$, write which of the following statements are true and which are false :

(vi) $\left\{a,o,u\right\}\in V$

1. True
2. False

Q.

With reference to the word $‘\mathrm{SAHARANPUR}’$, write the set of consonants used in the word.

Q. Show that set $B=\{y:2y+1<3andy\in W\}$ is a singleton set.

Q. Set $B=\{y:2y+1<3andy\in W\}$ is a/an ___ .

1. empty set
2. singleton set
3. infinite set
4. equal set

Q. $\text{If}A=\{x:x=2n,n\in N\}$ and $B=\{x:x\text{is a prime number}\},$ then $A\text{and}B$ are ________ sets.

1. disjoint
2. joint
3. equal
4. finite

Q.

The set of even prime number is a/an ____.

1. empty set

2. equal set

3. singleton set

4. infinite set

Q.

State whether each of the following statements is true or false. If the statement is false rewrite the given statement correctly

If $A$and $B$ are non-empty sets then $A\times B$ is a non-empty set of ordered pairs $(x,y)$ such that $x\in A\mathrm{and}y\in B$

1. True
2. False

Q.

Which of the following are singleton sets?

$\left\{Evennumberswhichareprime\right\}$

Q. Find the set corresponding to common elements between set A and set B in the following venn diagram.

1. $\{1,2,5\}$
2. $\{7,8,9,10\}$
3. $\{1,2,3,4,5,6\}$
4. $\{3,4,6\}$