Question

1. is the statement below deductive or inductive reasoning?

the product of two odd integers is an odd integer. specifically, if we are given the numbers 7 and 9, their products must be odd.

select only one:
a. deductive
b. inductive

Explanation:

⚡ Using what you learned: Inductive and Deductive Reasoning

Step 1: Analyze the general rule and specific case

The statement begins with a general mathematical rule:
"The product of two odd integers is an odd integer."

It then applies this general rule to a specific instance:
"Specifically, if we are given the numbers 7 and 9, their products must be odd."

Step 2: Determine the direction of reasoning

• Deductive reasoning starts with a general statement, law, or principle and applies it to reach a specific, logical conclusion.
• Inductive reasoning starts with specific observations or examples and uses them to construct a general rule.

Since this argument moves from a general rule (all products of two odd integers are odd) to a specific conclusion (the product of 7 and 9 must be odd), it is an example of deductive reasoning.

Answer:

A. Deductive