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# Find out which of the following sentences are statements and which are not. Justify your answer.

All triangles have three sides.

Answer :

Concept Used: A statement is an assertive (declarative) sentence if it is either true or false but not both.

The given sentence is a true declarative sentence.

Hence, it is a true statement.

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Rewrite the following statement in five different ways conveying the same meaning.

If a given number is a multiple of 6, then it is a multiple of 3.

RS Aggarwal - Mathematics

Prove by direct method that for any integer ‘n’, n^{3} – n is always even.

The contrapositive of the statement

“If p, then q”, is

Mathematics - ExemplarThe negation of the statement

“Rajesh or Rajni lived in Bangalore” is

Mathematics - ExemplarThe negation of the statement

“72 is divisible by 2 and 3” is

Mathematics - ExemplarThe negation of the statement “The product of 3 and 4 is 9” is

Mathematics - ExemplarThe statement

“If x^{2} is not even, then x is not even” is converse of the statement

The contrapositive of the statement

“If 7 is greater than 5, then 8 is greater than 6” is

Mathematics - Exemplar