what would be a counterexample of this converse statement:
If a and b are not consecutive odd numbers,then a+b is not an even number.
To find a counterexample for the converse statement, we need to find a scenario where the converse statement does not hold true. The converse statement of "If a and b are not consecutive odd numbers, then a+b is not an even number" would be:
"If a+b is not an even number, then a and b are not consecutive odd numbers."
To find a counterexample, we need to identify a pair of numbers where a+b is not an even number, but a and b are consecutive odd numbers.
Let's consider the numbers 3 and 5. Both 3 and 5 are consecutive odd numbers since the difference between them is 2 (5 - 3 = 2).
Now, let's calculate a + b:
a + b = 3 + 5 = 8
In this case, a + b equals 8, which is an even number. Therefore, this example does not serve as a counterexample to disprove the converse statement.