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This is Program Of  C++ ASSIGNMENT OF DISTCRETE MATHEMATICS 8.   Let p and q be the propositions p : I bought a lottery ticket thi... 10 years ago

This is Program Of  C++

ASSIGNMENT OF DISTCRETE MATHEMATICS

8.  Let p and q be the propositions

p : I bought a lottery ticket this week.

q : I won the million dollar jackpot.

Express each of these propositions as an English sentence.

a) ￢p b) p ∨ q c) p → q

d) p ∧ q e) p ↔ q f ) ￢p →￢q

g) ￢p ∧￢q h) ￢p ∨ (p ∧ q)

10.  Let p and q be the propositions “The election is decided”

and “The votes have been counted,” respectively. Express

each of these compound propositions as an English sentence.

a) ￢p b) p ∨ q

c) ￢p ∧ q d) q → p

e) ￢q →￢p f ) ￢p →￢q

g) p ↔ q h) ￢q ∨ (￢p ∧ q)

33.  Construct a truth table for each of these compound propositions.

e) (p ↔ q) ⊕ (￢p ↔￢r)

f ) (p ⊕ q) → (p ⊕￢q)

38.  Construct a truth table for ((p → q) → r) → s.