QuestionJuly 14, 2025

Give a counterexample for the following statement: The product of two negative numbers is odd. -3(-7) -1(-4) -7(-13) 2(-5)

Give a counterexample for the following statement: The product of two negative numbers is odd. -3(-7) -1(-4) -7(-13) 2(-5)
Give a counterexample for the following statement:
The product of two negative numbers is odd.
-3(-7)
-1(-4)
-7(-13)
2(-5)

Solution
4.2(204 votes)

Answer

The statement is false; the product of two negative numbers is not necessarily odd. Explanation 1. Identify the product of two negative numbers Calculate -3 \times (-7) = 21, which is not odd. Calculate -1 \times (-4) = 4, which is not odd. Calculate -7 \times (-13) = 91, which is not odd. 2. Verify if any product is odd None of the products are odd; they are all even or positive integers.

Explanation

1. Identify the product of two negative numbers<br /> Calculate $-3 \times (-7) = 21$, which is not odd.<br /> Calculate $-1 \times (-4) = 4$, which is not odd.<br /> Calculate $-7 \times (-13) = 91$, which is not odd.<br /><br />2. Verify if any product is odd<br /> None of the products are odd; they are all even or positive integers.
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