Chapter 2: Q56. (page 80)

Write a counterexample for each conditional statement. (Lesson 1-8)
If the product of two numbers is an even number, then both factors must be even numbers.

Short Answer

Expert verified

The product of 2 and 3 is 6, which is even, but the factor 3 is not an even number.

Step by step solution

Step 1. Given information,

The given conditional statement is ‘’ If the product of two numbers is an even number, then both factors must be even numbers’’.

Step 2. Concept used.

If the product of two numbers 2 and 3 then you will get 6 is an even number.

But 3 is not an even number.

It means, it is not always true that if the product of two numbers is an even number then both factors must be even numbers.

Step 3. To find the Counterexample of the given statement.

The Counterexample of the given Conditional Statement is “The product of 2 and 3 is 6, which is even, but the factor 3 is not an even number”.

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Write a counterexample for each conditional statement. (Lesson 1-8)
If the product of two numbers is an even number, then both factors must be even numbers.

Short Answer

Step by step solution

Step 1. Given information,

Step 2. Concept used.

Step 3. To find the Counterexample of the given statement.

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Write a counterexample for each conditional statement. (Lesson 1-8)If the product of two numbers is an even number, then both factors must be even numbers.

Short Answer

Step by step solution

Step 1. Given information,

Step 2. Concept used.

Step 3. To find the Counterexample of the given statement.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Applied Mathematics

Geometry

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Write a counterexample for each conditional statement. (Lesson 1-8)
If the product of two numbers is an even number, then both factors must be even numbers.