example of given of biconditional proposition

Propositions are of two kinds namely Theorem and Problems A theorem is a generalised statement, which can be proved logically. A theorem has two parts, a hypothesis, which states the given facts and a conclusion which states the property to be proved. The two statements ..

If two simple statements p and q are connected by the connective 'if and only if', then the resulting compound statement is called the biconditional statement. Symbolically it is represented by p q. Example: An integer is even if and only if it is divisible by 2. It is a ..

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..

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..

If two simple statements p and q are connected by the connective 'if and only if', then the resulting compound statement is called the biconditional statemen..

Proposition or statement and Truth Value of a statement - A declarative sentence which is true or false but not both is called a proposition..

A Boolean algebra is a set B with two distinct elements, along with the binary operations '+' and '.' and a unary operation (') which satisfy closure property, commutative property, existence of unit element, distributive property for both the binary operations. Moreover, for all x B, there exist..

A and B are two given points in a plane. l is the perpendicular bisector of AB which intersects AB at ..

In D ABC, AD, BE and CF are the altitude..

AB||CD, EFGH is a transversa..