Chapter 1: Q39. (page 57)

Example 4 Find a counterexample for each conditional statement.
If a number is prime, then it is an odd number.

Short Answer

Expert verified

"If a number is prime, then it is an odd number” is in not true.

Step by step solution

Step 1. Given Statement.

If a number is prime, then it is an odd number.

Step 2. Description of step.

To find a counterexample for the given statement.

Since prime numbers are the numbers that are divisible by only 1 and the number itself.

But the very first prime number is 2 which is not an odd number as it is divisible by 2.

Step 3. Conclusion.

Therefore the statement that "if a number is prime, then it is an odd number” is not true.

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Example 4 Find a counterexample for each conditional statement.
If a number is prime, then it is an odd number.

Short Answer

Step by step solution

Step 1. Given Statement.

Step 2. Description of step.

Step 3. Conclusion.

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Example 4 Find a counterexample for each conditional statement.If a number is prime, then it is an odd number.

Short Answer

Step by step solution

Step 1. Given Statement.

Step 2. Description of step.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Mechanics Maths

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Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

Example 4 Find a counterexample for each conditional statement.
If a number is prime, then it is an odd number.