QuestionAugust 25, 2025

Select a counterexample to the statement. The product of any integer and itself is odd. 5cdot 4=20 4cdot 1=4 4cdot 4=16 6cdot 4=20

Select a counterexample to the statement. The product of any integer and itself is odd. 5cdot 4=20 4cdot 1=4 4cdot 4=16 6cdot 4=20
Select a counterexample to the statement. The product of any integer and itself is odd. 5cdot 4=20 4cdot 1=4 4cdot 4=16 6cdot 4=20

Solution
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Answer

4\cdot 4=16 Explanation 1. Identify the statement's condition The statement claims that the product of any integer and itself is odd. 2. Evaluate each option Check if the product of the integer with itself results in an odd number. - 5 \cdot 4 = 20: Not a product of an integer with itself. - 4 \cdot 1 = 4: Not a product of an integer with itself. - 4 \cdot 4 = 16: Product of an integer with itself, result is even. - 6 \cdot 4 = 20: Not a product of an integer with itself. 3. Select the counterexample The only product of an integer with itself is 4 \cdot 4 = 16, which is even.

Explanation

1. Identify the statement's condition<br /> The statement claims that the product of any integer and itself is odd.<br /><br />2. Evaluate each option<br /> Check if the product of the integer with itself results in an odd number.<br /><br />- $5 \cdot 4 = 20$: Not a product of an integer with itself.<br />- $4 \cdot 1 = 4$: Not a product of an integer with itself.<br />- $4 \cdot 4 = 16$: Product of an integer with itself, result is even.<br />- $6 \cdot 4 = 20$: Not a product of an integer with itself.<br /><br />3. Select the counterexample<br /> The only product of an integer with itself is $4 \cdot 4 = 16$, which is even.
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