if then conditional statements

If p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implication. It is denoted by p q. p is called the antecedent (or hypothesis). q is called the consequent (or conclusion). Note: p q can be read as (i) If p th..

We know that ..

If p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implicatio..

It is already mentioned in earlier classes that compound statements of different propositions can be obtained by conjunction, disjunction and negation of propositions. We just recall these three basic logical connectivities and their truth table and subsequently we shall learn about ..

Logical Equivalence - Two propositions (simple or compound) are said to be logically equivalent if they have identical truth values. If p is logically equivalent to q, we denote p q. We have already constructed the truth table of (~p) q in earlier class. Recall the same truth table. Truth Table for..

Which of the following statements is not a necessary condition for two parallel line segments? => Two parallel line segments should always be coplanar. or Two parallel line segments must not intersect. or Two parallel line segments should have the same length. or None of the abo..

The locus of a point equidistant from two fixed points is the perpendicular bisector of the segment joining the two points. This theorem is proved in two parts. First prove that any point on the locus satisfies the condition..

Consider the conditional statement "If a quadrilateral is a square, then all the sides are equal". The contrapositive of this statement is "If all the sides of a quadrilateral are not equal, then it is not a squar..

The conditional statement is equivalent to it contrapositive o..

- A sentence is a statement if it is either true or false, but not both. - The truth and falsity of a statement is its truth value. - A truth table indicates the truth values of a number of statements and their compound statements in a compact form. - If ther..