Here are the definitions of conditional and biconditional propositions: Conditional proposition: A proposition of the form "If p, then q" which is symbolized as p → q. It is only false when p is true and q is false. It is true in all other cases. Biconditional proposition: A proposition that links two statements such that the truth or falsity of one depends on the truth or falsity of the other. It is symbolized as p ↔ q and reads as "p if and only if q". It is true when p and q are either both true or both false, and false otherwise.

1. GOOD DAY

3. KINDLY ARRANGEYOUR CHAIR
PLEASE PICK PIECESOFTRASH OR PAPER UNDERNEATH
YOUR CHAIR
OBSERVE PROPER SEATING
ARRANGEMENT
PLEASE MAINTAINORDERLINESS INSIDETHE
ROOM.

4. RECAL
L

5. Each group will be given a slip of paper.
Determine whether each of the following
statements is a proposition or not. And
determine if they are simple or compound
proposition.
If it is a proposition, give its truth value.

6. P: Mindanao is an island in the Philippines.
q: Find a number which divides your age.
r: My seatmate will get a perfect score in the logic exam.
s: Welcome to the Philippines!
t: 3 + 2 =5
u: f(x) =
𝒙
𝒙+𝟏
is a rational function.
v: What is the domain of the function?
p1: It is not the case that 𝟐 is a rational number.
p2: Either logic is fun and interesting, or it is boring.
P3: If you are a Grade 11 student, then you are a Filipino.
P4: If you are more than 60 years old, then you are entitled to a
Senior Citizen’s card, and if you are entitled to a Senior Citizen’s card,
then you are more than 60 years old.
PROPOSITION
PROPOSITION
PROPOSITION
PROPOSITION
PROPOSITION
PROPOSITION
PROPOSITION
PROPOSITION
NOT A PROPOSITION
NOT A PROPOSITION
NOT A PROPOSITION

7. p,r,t and u – simple
proposition
P1,p2,p3 and p4
simple compound
proposition
(not,and,or, if- then)

9. CONSTRUCT ME !!!
(truth table)

10. Given the proposition p and q. (2), there will
be 4 rows. 22= 4.
EXAMPLE
p q
T T
T F
F T
F F

11. Suppose p, q and r are propositions.
There will be 8 rows. 23=8.
p q r
T T T
T T F
T F T
T F F
F T T
F T F
F F T
F F F

13. RUBRICS
CRITERIA 5 3 1
CONTENT Completely
Answered
2-3 Missing
answer
4 OR MORE
SPEED FIRST TO
FINISH
2ND AND 3rd LAST
PRESENTATI
ON
Clearly
illustrated
Fairly
illustrated
illustrated

14. Negation of Proposition. Ex ~T = F (negation of True
is False), ~F = T (negation of False is True)
p q r ~p ~q ~r
T T T F F F
T T F
T F T
T F F
F T T
F T F
F F T
F F F

15. p q r ~p ~q ~r
T T T F F F
T T F F F T
T F T F T F
T F F F T T
F T T T F F
F T F T F T
F F T T T F
F F F T T T
ANSWE
R

17. RUBRICS
CRITERIA 5 3 1
CONTENT Completely
Answered
2-3 Missing
answer
4 OR MORE
SPEED FIRST TO
FINISH
2ND AND 3rd LAST
PRESENTATI
ON
Clearly
illustrated
Fairly
illustrated
illustrated

18. Conjunction of proposition. Ex. p^q (read as p and q).
This is only true if both conjuncts are true.
p q r p^q p^r q^r
T T T T T T
T T F F
T F T
T F F
F T T
F T F
F F T
F F F

19. p q r p^q p^r q^r
T T T T T T
T T F T F F
T F T F T F
T F F F F F
F T T F F T
F T F F F F
F F T F F F
F F F F F F
ANSWER

21. Disjunctions denoted by p v q.
(read as p or q), is true only is p and
q are false.
p q r p v q p v r q v r
T T T F F F
T T F
T F T
T F F
F T T
F T F
F F T
F F F

22. ANSWER
p q r p v q p v r q v r
T T T F F F
T T F F F F
T F T F F F
T F F F F T
F T T F F F
F T F F T T
F F T T F F
F F F T T T

23. How do we express a given proposition
into its negation?
Can it be possible that the given ~p can be true? How?
How Conjunction differ to disjunction?
Can we express a negation of conjunction
and disjunction?

24. The negation of proposition is denoted by ~p.
The conjunction of proposition is denoted by p ^ q, where if
both proposition is true then the truth value is true.
The disjunction of proposition is denoted by p v q, where if both
proposition is false then the truth value is true.
Remember:

26. r v ( ~p)
(~q) ^ r
~p
~r ^ ( ~p)
~r ^ ( p)

27. A.Directions: Given the
propositions write its
English expression or its
logical symbol or vice
versa.
p: Cristina ride a
jeepney.
q: Howey eats
breakfast
r: Daniel is in love with
Kath
B. Complete the Truth table by
filling the
empty numbered box on
your
answer sheets.
SEATWORK:

28. ANWER KEY
1. Daniel Padilla is not in love with Kathryn Bernardo.
2. Either Daniel Padilla is in love with Kathryn Bernardo
or Howey did not eat breakfast.
3. Cristina ride a jeep and Howey eats breakfast.
4. Either Daniel Padilla is inlove with Kath or Cristina did
not ride a jeepney.
5. Both Cristina did not ride a jeepney and Howey eats
breakfast.
6. r v ( ~p)
7. (~q) ^ r
8. ~p

29. p q r ~p p ^ r q v r
T T T F T F
T T F F T F
T F T F T F
T F F F F T
F T T T F F
F T F T F F
F F T T F F
F F F T T T
B. ANSWER KEY

30. REFLECTION:
LOGIC is the beginning of wisdom,
not the end.

31. Assignment:
Define conditional and biconditional proposition.
Ref: General Mathematics book (LM)
Pages 296-298
(notebook)