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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鈥� is in not true.

Step by step solution

01

Step 1. Given Statement.

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

02

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.

03

Step 3. Conclusion.

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

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