# Inductive or Deductive Reasoning

Identify whether the following statements uses **Inductive or** **Deductive Reasoning**.

1. No mahogany tree is deciduous, and all nondeciduous trees are evergreens. It follows that all mayten trees are evergreens.

2. Mike must belong to the Capiz Bartenders and Beverage Union Local, since almost every Capizeños bartender does.

3. Why is Sarah so mean to Janice? The only thing I can think of is that she’s jealous. Jealousy is what’s making her mean.

4. I’ve never met a Bantay with a nasty disposition. I bet there aren’t any.

5. The figure he drew has only three sides, so it is in a square.

6. Jannah will make a fine president after all, he made a fine senator.

7. It was the pizza that make my stomach churn. What else could it be? I was fine until I ate it.

8. My mathematics teacher in elementary is a male. My mathematics teacher now in Grade 8 is also a male. Therefore, all mathematics teachers are male.

9. The color of eggplant is purple, and all eggplants are vegetables, therefore vegetables is purple.

10. It is wrong to hurt someone’s feelings, and that is exactly what you are doing when you speak to me like that.

Ans:

**Exercise 1 **

- Deductive
- 2. Bill is a bachelor
- Inductive
- Inductive
- Inductive
- Deductive
- Deductive
- Inductive
- Deductive

10. Inductive

**Guide Questions:**

Answer the following questions based on the activity above:

- How do you differentiate between Inductive Reasoning and Deductive reasoning?

Inductive reasoning moves from specific observations to broad generalizations, and deductive reasoning the other way around.

- How can you tell that a statement shows Inductive Reasoning or Deductive reasoning?

If the arguer believes that the truth of the premise definitely establishes the truth of the conclusion, then the argument is deductive. If the arguer believes that the truth of the premise provides only good reasons to believe the conclusion is probably true, then the argument is inductive.

**Exercise 2**

Directions: Draw a conclusion from each given situation and identify the kind of reasoning used.

- 2, 4, 6, 8. The next number is _____________________________________.

- Bachelors are unmarried men. Bill is unmarried, therefore _____________________________________________________________.

- A child’s teacher in pre-school was female. In his grades 1 and 2, his teachers were both female. The child may say that _____________________________________________________________.

- Filipinos are a peace-loving people, Julia is a Filipino. Therefore, _____________________________________________________________.

- A regular polygon is equilateral. ALLEN is a regular pentagon. Therefore, _____________________________________________________________.

Ans:

**Exercise 2**

1. 10

2. Bill is a bachelor

3. Therefore her teachers in school are all female

4. Therefore Julia is a peace loving people

5. Therefore, Allen is a equilateral

**Guide Questions:**

- How do you make conclusions from each given situation?

Conclusion is defined as the main point of the argument or research that has been conducted.

- How do you identify the kind of Reasoning?

It signals the end of the process, as well as judgment or reasoning that has been made after conducting a series of tests and considering the circumstances of things.

**Exercise 3**

Directions: supply the conclusion for the given hypothesis.

- If AB = CE, then _____________________________________________.

- If BOS is equilateral, then ___________________________________.

M |

A |

If B and E are complementary, then ___________________________________________________________.

o |

P |

If PM bisects , ______________________________________.

- If angles are congruent, then ___________________________________.

Ans:

Exercise 3

- They are congruent

- The BO is congruent to OS is congruent to BS

- The sum of angle B and angle E is equal to 90degrees.

- Then AP = PO

- Then it is isosceles

**Guide Questions:**

- How to supply the conclusion for the given hypothesis?

The hypothesis of a conditional statement is the phrase immediately following the word if. The conclusion of a conditional statement is the phrase immediately following the word then. Hypothesis: Two angles are adjacent.

**V. Reflection**

- What have you learned in the lesson?

I have learned that, If the arguer believes that the truth of the premise definitely establishes the truth of the conclusion, then the argument is deductive. If the arguer believes that the truth of the premise provides only good reasons to believe the conclusion is probably true, then the argument is inductive.

- How can you apply deductive and inductive to real-life situation/s? Cite an example.

I can apply this through reasoning and giving such explanation to be more effective to everyone.

Image: Pexels