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Discrete Mathematics and Its Applications - Chapter 1 Question and answers rated A+ 2026

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Discrete Mathematics and Its Applications - Chapter 1 Question and answers rated A+ 2026 Modus Ponens - correct answer (p ^ (p → q)) → q p p → q -------- ∴ q Modus Tollens - correct answer (¬q ^ (p → q)) → ¬p ¬q p → q -------- ∴ ¬p Hypothetical Syllogism - correct answer ((p → q) ^ (q → r)) → (p → r) p → q q → r -------- ∴ p → r

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Discrete Mathematics and Its
Applications - Chapter 1 Question and
answers rated A+ 2026
Modus Ponens - correct answer ✔(p ^ (p → q)) → q



p

p→q

--------

∴q



Modus Tollens - correct answer ✔(¬q ^ (p → q)) → ¬p



¬q

p→q

--------

∴ ¬p



Hypothetical Syllogism - correct answer ✔((p → q) ^ (q → r)) → (p → r)



p→q

q→r

--------

∴p→r

, Disjunctive Syllogism - correct answer ✔((p v q) ^ ¬p) → q



pvq

¬p

---------

∴q



Addition - correct answer ✔p → (p v q)



p

---------

∴pvq



Simplification - correct answer ✔(p ^ q) → p



p^q

---------

∴p



Conjunction - correct answer ✔((p) ^ (q)) → (p ^ q)



p

q

---------

∴p^q

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