preperation for 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..

Conditional and Biconditional Statements - 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 an..

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

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..

Avogadro's law states that 'under similar conditions of temperature and pressure, equal volumes of all gases contain equal number of molecules'. For example, if equal volumes of different gases like hydrogen, oxygen and chlorine are held in separate containers under similar conditio..

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

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..

"If both pairs of opposite sides of a quadrilateral are equal, then the quadrilateral is a parallelogram". The converse statement stated above is a necessary condition for a quadrilateral to be a parallelogram. Similarly, we may formulate the following two other conditions..