Propositional Logic

We are tasked with determining which statements are propositions. A proposition is defined as a declarative statement that is either true or false but not both. Let us evaluate each statement: (A) The sum of four angles of a quadrilateral is 180°. This statement is incorrect, as the sum of angles in a quadrilateral is 360°, not 180°. Despite its falsehood, it is a propositional statement since it declares something that can be determined to be true or false. (B) A line segment has two end points. It's a declarative statement that can be verified as true, therefore making it a proposition. (C) 7𝑥+3=14 This is an equation, not a proposition. It becomes a proposition if 'x' is provided with a specific value, allowing it to be evaluated as true or false. (D) 3 X 9=21 This is a false statement since 3 X 9 = 27. However, it is still a proposition since it is a statement that can be assessed to be true or false. Therefore, the propositions among these statements are: (A), (B), and (D). Consequently, the correct options are: (A), (B) and (D) Only .

Chapter Questions
1 MCQs