Examples: 1. “We won the match!” The sentence “We won the match!” Is an exclamatory sentence. ∴ It is not a statement. 2. Can u get me cup of tea? This sentence is an interrogative sentence. ∴ It is...
Find out which of the following sentences are statements and which are not. Justify your answer. (i) This sentences is a statement. (ii) Is the earth round?
Answers: (i) This sentences is a statement. The statement is not indicating the correct value, so we can say that value contradicts the sense of the sentence. ∴ It is not a statement. (ii) Is the...
Find out which of the following sentences are statements and which are not. Justify your answer. (i) Every rhombus is a square. (ii) x2 + 5|x| + 6 = 0 has no real roots.
Answers: (i) Every rhombus is a square. This sentence is always false, because Rhombuses are not a square. ∴ It is a statement. (ii) x2 + 5|x| + 6 = 0 has no real roots. Let us take, If x>0,...
Find out which of the following sentences are statements and which are not. Justify your answer. (i) Are all circles round? (ii) All triangles have three sides.
Answers: (i) Are all circles round? The given sentence is an interrogative sentence. ∴ It is not a statement. (ii) All triangles have three sides. The given sentence is a true declarative sentence....
Find out which of the following sentences are statements and which are not. Justify your answer. (i) Two non-empty sets have always a non-empty intersection. (ii) The cat pussy is black.
Answers: (i) Two non-empty sets have always a non-empty intersection. This sentence is always false, because there are non-empty sets whose intersection is empty. ∴ It is a statement. (ii) The cat...
Find out which of the following sentences are statements and which are not. Justify your answer. (i) Listen to me, Ravi! (ii) Every set is a finite set.
Answers: (i) Listen to me, Ravi! The sentence “Listen to me, Ravi! “Is an exclamatory sentence. ∴ It is not a statement. (ii) Every set is a finite set. This sentence is always false, because there...