biconditional and conditional statement

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 connect..

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..

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..

If p and q are two statements then the compound statement p if and only if q", is called the biconditional statement denoted by "p q". "p q" is true when both p and q are true or when both p and q are false..

If p and q are two statements, then the compound statement If p then q" is called the compound statement denoted by "p q", p q is false when p is true and q is false..

We know that ..

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..

- 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..

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..