Uploaded by Liza Mary

MATHEMATICS IN THE MODERN WORD: LOGIC

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LIZA MARY ARGAME
Activity for the topic.
I.
Use p, q, r and s as reference to write the following compound statements.
Examples:
If I watch the movie, then I will not be able to study.
p  ~q
She will not be able to come if and only if she is sick or she is busy. ~p
(q v r)
Henry is a reliable source and he gets his information first hand.
p^q
a. I will go to the supermarket, and buy grocery items but not candies.
(p^q) ~ r
b. Melvin studies his lesson, however he still failed the quiz and he is disappointed.
p (q^r)
II. Write the negation of each conditional statement.
Examples:
If I study, then I will get high grades.
Ans. If I don’t study then I will not get high grades.
If John does not bring his umbrella, then he will get wet from the rain.
Ans. If John brings his umbrella, then he will not get wet from the rain.
a. If Maria goes to the market, then she will leave the store closed.
If Maria go to the market, then she will not leave the store closed.
b. If it rains, then I will bring my umbrella.
If it’s not rain, then I will not bring my umbrella.
c. If I exercise, I will be healthy and I will be strong.
If I not exercise, then I will not be healthy and I will not be strong.
III.
Complete the TRUTH table for the given statement logic statement.
(~p ^ q) v (~ {p v q})
p
T
T
F
F
q
T
F
T
F
~p
F
F
T
T
~p^q
T
T
F
T
p v q ~{p v q} (~p ^ q) v (~ {p v q})
T
F
T
T
F
T
T
F
F
F
T
T
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