Conditional Inverse Converse Contrapositive p q p q pq pq qp qp F F F T T F T T Conditional Statement (Cont.)21 T T F F T F T F T T F T T F T T T F T T T T F T pis not sufficient for q = ¬ (p→q)
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Bi‐conditional StatementPq: a bi‐conditional means “pif and only ifq”Symbol:Alternatively, it means“(ifpthenq) and (ifqthenp)”Letp= “the student is studying engineering”andq= “s/he is smart”, thenpqmeanso“the student is studying engineering if and only ifs/he is smart”oAlternatively, it means “If the student is smart, thens/he is studying engineering” and if the student is studyingengineering then s/he is smart22