Question

{x: x is a real number between 1 and 2} is

A-Fniite set
B-Infinite set
C- empty set
D- singleton

Answer 1

Answer:

B - Infinite set is right amswer

Answer 2

{ x : x is a real number between 1 and 2 } is Infinite set

Given :

The set { x : x is a real number between 1 and 2 }

To find :

{ x : x is a real number between 1 and 2 } is

A. Fniite set

B. Infinite set

C. Empty set

D. Singleton

Solution :

Step 1 of 2 :

Write down the given set

Here the given set is { x : x is a real number between 1 and 2 }

Step 2 of 2 :

Choose the correct option

Let S be the given set

S = { x : x is a real number between 1 and 2 }

1 and 2 are two real numbers

We know that between two real numbers there are infinite number of real numbers

So three are infinite number of real numbers between 1 and 2

Check for option A

Since three are infinite number of real numbers between 1 and 2

We know that a set is said to be finite set if the set contains finite number of elements. Otherwise the set is said to be infinite set

So the given set is an infinite set

Therefore option A. Fniite set is not correct

Check for option B

Since three are infinite number of real numbers between 1 and 2

We know that a set is said to be finite set if the set contains finite number of elements. Otherwise the set is said to be infinite set

So the given set is an infinite set

Therefore option B. Infinite set is correct

Check for option C

Since three are infinite number of real numbers between 1 and 2

We know that a set is said to be empty set if the set contains no element

But the given set contains infinite number of elements

So the given set is not empty set

Therefore option C. Empty set is not correct

Check for option D

Since three are infinite number of real numbers between 1 and 2

We know that a set is said to be singleton set if the set contains only one element.

But the given set contains infinite number of elements

So the given set is not singleton set

Therefore option D. Singleton is not correct

Final answer : B. Infinite set is the correct option

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