Using the Contrapositive Equivalence in Proofs The contrapositive ofa conditional statement is formed by interchanging its LHS with its RI-IS, and negating both sides ofthe new implication. In Statement 5. —p vs Reason Premise Contrapositive Equivalence (1) Premise Modus Tollens (2) (3) Disjunctive Addition (4) Premise Modus Ponens (5) (6) This will include identifying the converse, inverse, and contrapositive of a conditional statement; G.1b The student will use deductive reasoning to construct and judge the validity of a logical argument consisting of a set of premises and a conclusion.

Inductive vs. deductive reasoning. While deductive reasoning proceeds from general premises to a specific conclusion, inductive reasoning proceeds from specific premises to a general conclusion. While deductive reasoning is top-down logic, inductive reasoning is sometimes referred to as bottom-up logic. Converse, Inverse and Contrapositive of the statement 1.4 Q.4 Miscellaneous Q.19, 21 Using Quantifiers Convert Open sentences into True statement 1.6 Q.2 Prepare the Truth Table/Find Truth Values of p and q for given cases 1.4 Q.7 1.5 Q.1 Miscellaneous Q. 12, 15 Examine the statement Patterns (Tautology, Contradiction,

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