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Find a counterexample to the statement. The product of any integer and itself is even. Answer How to enter your answer (opens in new window)

Find a counterexample to the statement. The product of any integer and itself is even. Answer How to enter your answer (opens in new window)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Find a counterexample to the statement. The product of any integer and itself is even
**Lesson: 1.1 Thinking Mathematically** **Question 5 of 11, Step 1 of 1** **Task: Find a counterexample to the statement.** **Statement:** "The product of any integer and itself is even." **Answer:** You are required to enter a counterexample by showing an integer whose product with itself is odd. **Answer Input:** There are three empty boxes provided for input, indicating that the answer should be structured as follows: - First Box: Enter an integer. - Second Box: Multiply the integer by itself. - Third Box: Show the result of the multiplication. For example, using the integer 1: 1 x 1 = 1 (which is odd, thus serving as a counterexample). **Note:** Ensure to think critically and provide an odd number as a counterexample to prove the statement incorrect.
Transcribed Image Text:**Lesson: 1.1 Thinking Mathematically** **Question 5 of 11, Step 1 of 1** **Task: Find a counterexample to the statement.** **Statement:** "The product of any integer and itself is even." **Answer:** You are required to enter a counterexample by showing an integer whose product with itself is odd. **Answer Input:** There are three empty boxes provided for input, indicating that the answer should be structured as follows: - First Box: Enter an integer. - Second Box: Multiply the integer by itself. - Third Box: Show the result of the multiplication. For example, using the integer 1: 1 x 1 = 1 (which is odd, thus serving as a counterexample). **Note:** Ensure to think critically and provide an odd number as a counterexample to prove the statement incorrect.
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