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Deductive reasoning
1. P: All football players are
muscular.
Q: Joshua is muscular
R:
2. P: All kangaroos are
marsupials.
Q: All marsupials are
mammals.
R:
3. P: The area of the square is
the square of the length of
its side.
R: There is a square whose
side is 5 inches.
S:
4. Write a general statement in (a), a
particular statement in (b) and a
conclusion in (c)
A: Filipinos are hospitable.
B: Juan is a Filipino
C: ___________________
5. A: Ilocanos are industrious
B. Ferdie is an Ilocano.
C: ___________________
6. A: Priests are religious
B: _________________
C: Fr. Tarsi is religious.
7. A: Good citizens pay their
taxes.
B: Teachers are good
citizens
C:____________________
9. Use deductive reasoning to reach a
conclusion in each of the following.
1. Amy is younger than Beth and John is
older than Beth.
2. If a person in in Bulacan, then that
person is in Luzon. If a person is in
Luzon, then that person is in Region
III.
3. If the base angles of a triangle are
congruent, then the triangle is
isosceles. If a triangle is isosceles,
then the sides opposite the base
angles are congruent.
10. 4. M = 4 + 3 and 4 + 3 = 7
5. All mathematics teachers have
strange sense of humor. Alex is a
mathematics teacher. Conclusion?
6. All mathematics teachers have
strange sense of humor. Alex has a
strange sense of humor. Conclusion?
11. 7. If Juan Dela Cruz is elected
president, then every family will have
a car. Every family has a car.
Conclusion?
8. If Tabby is meowing, then she is
hungry. Tabby is hungry. Conclusion?
9. If a person is rich and famous, then
he or she is happy. Rowell is rich and
well-known. Conclusion?
12. 10. If a person is involved in the
politics, then that person will be in
the public eye. June Jesse has been
elected to the senate. Conclusion?