Q39. - Algebra 1

Question

Example 4 Find a counterexample for each conditional statement.

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

Step-by-Step Solution

Answer

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

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.