Question

(i) Check whether the following sentences are statements. Give reasons for your answer
$8$ is less than $6$

(ii) Check whether the following sentences are statements. Give reasons for your answer
Every set is a finite set

(iii)Check whether the following sentences are statements. Give reasons for your answer
The sun is a star

(iv)Check whether the following sentences are statements. Give reasons for your answer
Mathematics is fun

(v)Check whether the following sentences are statements. Give reasons for your answer
There is no rain without clouds

(vi) Check whether the following sentences are statements. Give reasons for your answer
How far is Chennai from here

Answer 1

(i) Given sentence: $8$ is less than $6$
It is a false sentence.

Reason: $8$ is Always more than $6$.
Hence, it is a Statement

(ii)Given sentence: Every set is a finite set
It is a false sentence.

Reason: Set can be infinite.
For example, set of natural numbers $\left(N\right)=\{1,2,3,.......\}$ is an infinite set
Hence, it is a Statement

(iii) Given sentence : The sun is a star
It is a true sentence.

Reason: It is scientifically established fact that sun is a star.Hence, it is a Statement

(iv) Given sentence : Mathematics is fun
This sentence can be both true or false.

Reason: Mathematics can be fun for someone but not for others.
Hence, it is not a Statement

(v)Given sentence: There is no rain without clouds
This sentence is always true.

Reason: It is scientifically established natural phenomenon that cloud is formed before it rains.
Hence, it is a Statement

(vi)Given sentence : How far is Chennai from hereThis sentence is not a Statement.

Reason: it is a question and contains the word here which is subjective.