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Consider the following conditional: If two prime numbers are multiplied, then the result is not a prime number. Write the converse of the conditional. Use the paperclip button below to attach files.

Consider the following conditional: If two prime numbers are multiplied, then the result is not a prime number. Write the converse of the conditional. Use the paperclip button below to attach files.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Conditional Statement and Converse Exploration** Consider the following conditional statement: If two prime numbers are multiplied, then the result is not a prime number. **Task:** Write the converse of the conditional. --- In the context of logic and mathematics, a conditional statement is an "if-then" statement. The **converse** of a conditional statement is formed by reversing the hypothesis and the conclusion. **Example:** - **Original Statement:** If two prime numbers are multiplied, then the result is not a prime number. - **Converse:** If the result is not a prime number, then two prime numbers were multiplied. Note: The truth of the converse is not guaranteed by the truth of the original statement. \( \textcolor{red}{\text{Use the paperclip button below to attach files.}} \) Explore and understand these concepts by practicing with different conditional statements and their converses.
Transcribed Image Text:**Conditional Statement and Converse Exploration** Consider the following conditional statement: If two prime numbers are multiplied, then the result is not a prime number. **Task:** Write the converse of the conditional. --- In the context of logic and mathematics, a conditional statement is an "if-then" statement. The **converse** of a conditional statement is formed by reversing the hypothesis and the conclusion. **Example:** - **Original Statement:** If two prime numbers are multiplied, then the result is not a prime number. - **Converse:** If the result is not a prime number, then two prime numbers were multiplied. Note: The truth of the converse is not guaranteed by the truth of the original statement. \( \textcolor{red}{\text{Use the paperclip button below to attach files.}} \) Explore and understand these concepts by practicing with different conditional statements and their converses.
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