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P: All football players are
 muscular.

Q: Joshua is muscular

R:
P: All kangaroos are
 marsupials.

Q: All marsupials are
 mammals.

R:
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:
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: ___________________
A: Ilocanos are industrious
B. Ferdie is an Ilocano.
C: ___________________
A: Priests are religious
B: _________________
C: Fr. Tarsi is religious.
A: Good citizens pay their
 taxes.
B: Teachers are good
 citizens
C:____________________
A: Intelligent students love
 mathematics.
B:____________________
C: Glenn loves
 mathematics.
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.
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?
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?
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?

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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:____________________
  • 8. A: Intelligent students love mathematics. B:____________________ C: Glenn loves mathematics.
  • 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?