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# Math - 3.3 A conditional statement is a compound statement...

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3.3: A conditional statement is a compound statement that uses the connective if… then . Written with an arrow p -> q. p is the antecedent and q is the consequent . For conditional : TT=T TF=F FT=T FF=T. Negation of p -> q is p ^ ~q. Conditional as “or” statement : ~p v q. 3.4 : Flipping the conditional is the converse q -> p . Negating both antecedent and consequent is the inverse ~p -> ~q. The contrapositive is both interchanged and negated ~q -> ~p. Equivalences : A conditional statement and its contrapositive are equivalent, and the converse and the inverse are equivalent. Biconditionals : p if and only if q , symbolized as p <-> q. For biconditiona l: TT=T TF=F FT=F FF=T. 4.1 : A mathematical syst em is made up of three components: 1. A set of elements 2. One or more operations for combining the elements 3. One or more relations for comparing the elements. Various ways of symbolizing and working with counting numbers are called numeration systems .

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