Q56.
Question
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.
Step-by-Step Solution
Verified Answer
The product of 2 and 3 is 6, which is even, but the factor 3 is not an even number.
1Step 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’’.
2Step 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.
3Step 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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