1.

Which of the following sentences are statements? In case of a statement mention whether it is true or false.(i) The sun is a star.(ii) √7 is an irrational number.(iii) The sum of 5 and 6 is less than 10.(iv) Go to your class.(v) Ice is always cold.(vi) Have you ever seen the Red Fort?(vii) Every relation is a function.(viii) The sum of any two sides of a triangle is always greater than the third side.(ix) May God bless you!

Answer»

(i) The sun is a star is a statement.

It is a scientifically proven fact, therefore this sentence is always true.

(ii) An irrational number is any number which cannot be expressed as a fraction of two integers.

Here, √7 cannot be expressed as a fraction of two integers, so √7 is an irrational number.

Therefore, “√7 is an irrational number” is a statement, and it is true.

(iii) Sum of 5 and 6 = 5 + 6 = 11 > 10

Sum of 5 and 6 is 11, which is greater than 10.

Therefore, “The sum of 5 and 6 is less than 10” is a statement, but not true.

(iv) The sentence ‘Go to your class’ is an order.

This is an Imperative sentence. Hence it is not a statement.

(v) Ice is always cold is a statement.

It is scientifically proven the fact, therefore the sentence is always true.

(vi) The sentence ‘Have you ever seen the Red Fort?

This is an interrogative sentence. Hence not a statement.

(vii) ‘Every relation is a function’ is a statement.

There are relations which are not functions.

Therefore, the sentence is false.

(viii) ‘The sum of any two sides of a triangle is always greater than the third side’

It is a statement and mathematically proven result.

Hence the statement is true.

(ix) ‘May God bless you!’ is an exclamation sentence. Hence it is not a statement.



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