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Discrete Mathematics and Its Applications - Chapter 1 Exam Questions and Answers Graded A+

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Institution Discrete Mathematics And Its Applications
Course Discrete Mathematics and Its Applications
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Discrete Mathematics and Its Applications - Chapter 1 Exam Questions and Answers Graded A+ (p ^ (p → q)) → q p p → q -------- ∴ q - Answers Modus Ponens (¬q ^ (p → q)) → ¬p ¬q p → q -------- ∴ ¬p - Answers Modus Tollens ((p → q) ^ (q → r)) → (p → r) p → q q → r -------- ∴ p → r - Answers Hypothetical Syllogism ((p v q) ^ ¬p) → q p v q ¬p --------- ∴ q - Answers Disjunctive Syllogism p → (p v q) p --------- ∴ p v q - Answers Addition (p ^ q) → p p ^ q --------- ∴ p - Answers Simplification ((p) ^ (q)) → (p ^ q) p q --------- ∴ p ^ q - Answers Conjunction ((p v q) ^ (¬p v r)) → (q v r) p v q ¬p v r --------- ∴ q v r - Answers Resolution p → q if p, then q

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Discrete Mathematics and Its Applications - Chapter 1 Exam Questions and Answers Graded A+

(p ^ (p → q)) → q



p

p→q

--------

∴ q - Answers Modus Ponens

(¬q ^ (p → q)) → ¬p



¬q

p→q

--------

∴ ¬p - Answers Modus Tollens

((p → q) ^ (q → r)) → (p → r)



p→q

q→r

--------

∴ p → r - Answers Hypothetical Syllogism

((p v q) ^ ¬p) → q



pvq

¬p

---------

∴ q - Answers Disjunctive Syllogism

, p → (p v q)



p

---------

∴ p v q - Answers Addition

(p ^ q) → p



p^q

---------

∴ p - Answers Simplification

((p) ^ (q)) → (p ^ q)



p

q

---------

∴ p ^ q - Answers Conjunction

((p v q) ^ (¬p v r)) → (q v r)



pvq

¬p v r

---------

∴ q v r - Answers Resolution

p→q



if p, then q

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