A compound statement on the simple statements p, q, and r is in dis- junctive form...
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A compound statement on the simple statements p, q, and r is in dis- junctive form if it consists of sequences of conjunctions (A's) of p, q, r., p, q, and joined by disjunctions (V's). For example, S= (p^q^r) V (p^q^r) is in disjunctive form. The statement (p^q^r) V (p^-q) V (p^q^¬r) is in disjunctive form. The statement (p^q) V (q^r) is not, because the in front of (p ^ q) is not allowed in disjunctive form. Note that lines in the truth table for S in which S is true are exactly the lines Pqr T| F | T FTT Please give a statement in terms of the simple statements p, q, r, s, t in disjunctive form which is true exactly for the rows pqrs T | F | T | T | FTTF T TFF A compound statement on the simple statements p, q, and r is in dis- junctive form if it consists of sequences of conjunctions (A's) of p, q, r., p, q, and joined by disjunctions (V's). For example, S= (p^q^r) V (p^q^r) is in disjunctive form. The statement (p^q^r) V (p^-q) V (p^q^¬r) is in disjunctive form. The statement (p^q) V (q^r) is not, because the in front of (p ^ q) is not allowed in disjunctive form. Note that lines in the truth table for S in which S is true are exactly the lines Pqr T| F | T FTT Please give a statement in terms of the simple statements p, q, r, s, t in disjunctive form which is true exactly for the rows pqrs T | F | T | T | FTTF T TFF
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Related Book For
A Survey of Mathematics with Applications
ISBN: 978-0134112107
10th edition
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
Posted Date:
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