MATH 103 Lecture Notes - Lecture 7: Truth Table, Contraposition, Sentence Clause Structure
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Statement : something that can be classified as true or false. Examples - yes/no statement? a true statement) Compound sentence : formed by combining two or more statements joined by a connecting word. {p, q, r} = 3 letters . F p (cid:1165) q (both true = true) p (cid:1166) q (at least one true = true) P (cid:1166) q = q (cid:1166) p. (p (cid:1165) q) (cid:1165) r = p (cid:1165) (q (cid:1165) r) (p (cid:1166) q) (cid:1166) r = p (cid:1166) (q (cid:1166) r) ~ (p (cid:1165) q) = ~p (cid:1166) ~q. ~ (p (cid:1166) q) = ~p (cid:1165) ~q. If i get an a on every test, then i will pass math. ( converse ): if i pass math, then i got an a on every test. ( inverse ): if i don"t get an a on every test, then i won"t pass math.
