lesson 1 and 2 discrete maths 100% correct
YourBestTurtor1) Determine which of the following sentences are propositions. Give a brief reason for your
answer.
(a) Seven is two more than five.
(b) Stop whining!
(c) There is a black hole at the center of every galaxy.
(d) This sentence has five words.
(2) Construct truth tables for each of the following.
(a) ¬q −→ p.
(b) (p ∨ q) −→ r. (You will need eight rows for this one.)
(3) Let s be the proposition It is snowing, f be the proposition It is below freezing, and r be It
is raining. Convert the following English sentences into statements using the symbols s, f,
r and logical connectives.
(a) It is snowing or it is not below freezing.
(b) If it is snowing, then it is not raining and it is below freezing.
(4) Use a truth table to verify the equivalence: p −→ ¬q ≡ ¬p ∨ ¬q.
Explain why the truth table shows that the propositions are equivalent.
(5) Use a truth table to show that the statements p −→ (q −→ r) and (p −→ q) −→ r
are not logically equivalent.
Explain why the truth table shows that the propositions are not equivalent.
contact me for the answe: [email protected]
- 6 years ago
Purchase the answer to view it