Question

classify the following set into empty set,finite set, infinite set, equivalent set and equal set 1) A= {x/x a prime number between 7 and 11} 2) B= { all straight line drawn in a plane} 3) C= { x/x is a consonant in the word WHY} 4) D = { x/x is a prime factor of 180}​

Answer 1

Step-by-step explanation:

Solution :-

1)

A= {x/x a prime number between 7 and 11}

It is an empty set

Reason :-

There is no prime number between 7 and 11.

2)

B= { all straight line drawn in a plane}

It is an infinite set

Reason :-

We can draw infinite number of many lines in a plane .

3)

C= { x/x is a consonant in the word WHY}

It is a finite set

Reason :-

The number of elements in C = 3

There are consonants in the word WHY are W,H,Y

Since , C = {W,H,Y}

It is countable set

It is a finite set

4)

D = { x/x is a prime factor of 180}

It is a finite set

Reason :-

The factors of 180 = 1,2,3,4,5,6,9,10,12, 15,18,20,30, 36, 45, 60, 90 and 180.

Prime factors of 180 = 2,3,5

Number of elements in the set D = 3

It is countable set.

It is a finite set.

Points to know :-

Empty Set :-

• A set having no elements is calle an Empty or Void or Null set .
• Ex:- A natural number between 1 and 2

Finite set :-

• A set having a finite number of elements is called a Finite set.
• Ex:- Perfect square numbers below 100.

Infinite set :-

• A set having so many elements which is impossible to count is called an Infinite set .
• Ex:- Set of all natural numbers

Prime Numbers :-

• Numbers having two factors 1 and itself are called Prime numbers.
• Ex:-2,3,5,7,11,13,17,19,...

Answer 2

Step-by-step explanation:

Step-by-step explanation:

Solution :-

1)

A= {x/x a prime number between 7 and 11}

It is an empty set

Reason :-

There is no prime number between 7 and 11.

2)

B= { all straight line drawn in a plane}

It is an infinite set

Reason :-

We can draw infinite number of many lines in a plane .

3)

C= { x/x is a consonant in the word WHY}

It is a finite set

Reason :-

The number of elements in C = 3

There are consonants in the word WHY are W,H,Y

Since , C = {W,H,Y}

It is countable set

It is a finite set

4)

D = { x/x is a prime factor of 180}

It is a finite set

Reason :-

The factors of 180 = 1,2,3,4,5,6,9,10,12, 15,18,20,30, 36, 45, 60, 90 and 180.

Prime factors of 180 = 2,3,5

Number of elements in the set D = 3

It is countable set.

It is a finite set.

Points to know :-

Empty Set :-

A set having no elements is calle an Empty or Void or Null set .

Ex:- A natural number between 1 and 2

Finite set :-

A set having a finite number of elements is called a Finite set.

Ex:- Perfect square numbers below 100.

Infinite set :-

A set having so many elements which is impossible to count is called an Infinite set .

Ex:- Set of all natural numbers

Prime Numbers :-

Numbers having two factors 1 and itself are called Prime numbers.

Ex:-2,3,5,7,11,13,17,19,...

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