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The 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..
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 statement
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..
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..Contrapositive of a Conditional Statement
We know that ..
We know that ..Conditional and Biconditional Statements
If p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implicatio..
Conditional and Biconditional Statements
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..
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 and their truth table and subsequently we shall learn about ..
Conditional and Biconditional Statements (Contd...)
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..
Conditional and Biconditional Statements
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..
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..Identify the inverse of the following conditional statement."If the po..
Identify the inverse of the following conditional statement. "If the points lie in the same line, then they are collinear." => If the points do not lie in the same line, then they are collinear. or If the points do not lie in the same line, then they are not collinear. or If the..
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