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EXPLAIN SHOW WORK 1) Consider the following two propositions: p: We can go to Ca

ID: 2962695 • Letter: E

Question

EXPLAIN SHOW WORK


1) Consider the following two propositions:

p: We can go to Cancun.

q: We can go to Iceland.

Using symbolic notation,

a)    Form the conjunction (?).

b)   Form the disjunction (?).

c)    Write the negation (~)of part a) as a logical statement and as an English sentence.

d)    Write the negation (~) of part b) as a logical statement and as an English sentence.

2) Consider the following statement: Every number is less than its square. For example, 5 < 25 and 7 < 49. Write the statement

Explanation / Answer

1)conj and statement

disj or statement

neg(a not q and not p

neg(b not (q or p)

3) raise an counter example where x=5 easy to disprove

4) easy to prove by proving if n is even then n^3 is not odd, easy to see thats true.

5) -p => q

q => p

q <=> p

-q =>p

p => q

q => p

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