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Consider the given statement. If it is not spring, then we are not going swimming. For each statement below, determine whether it is equivalent to the given statement, the negation of the given statement, or neither of these. Statement If it is spring, then we are going swimming. We are not going swimming and it is spring. It is not spring and we are going swimming. If we are going swimming, then it is spring. Equivalent Negation Neither O O O O O OOO οι οι οι ο

Consider the given statement. If it is not spring, then we are not going swimming. For each statement below, determine whether it is equivalent to the given statement, the negation of the given statement, or neither of these. Statement If it is spring, then we are going swimming. We are not going swimming and it is spring. It is not spring and we are going swimming. If we are going swimming, then it is spring. Equivalent Negation Neither O O O O O OOO οι οι οι ο

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I understand almost all of this. The part I am stuck on is how do you figure out what to make your statements. I need to know what statement to use for P and what one to use for Q. Ive noticed certain problems they are opposite of what the bold sentence says.

--- ### Identifying Equivalent Statements and Negations of a Conditional #### Consider the given statement: **If it is not spring, then we are not going swimming.** For each statement below, determine whether it is **equivalent** to the given statement, the **negation** of the given statement, or **neither** of these. | **Statement** | **Equivalent** | **Negation** | **Neither** | |-------------------------------------------------------|----------------|--------------|-------------| | If it is spring, then we are going swimming. | ⭘ | ⭘ | ⭘ | | We are not going swimming and it is spring. | ⭘ | ⭘ | ⭘ | | It is not spring and we are going swimming. | ⭘ | ⭘ | ⭘ | | If we are going swimming, then it is spring. | ⭘ | ⭘ | ⭘ | Click the "Explanation" button for detailed information regarding the solution. To submit your answer, click the "Check" button. #### Diagram Explanation: This table provides a structured overview to assess the logical relationships between different conditional statements. Each row presents a statement that needs to be analyzed, and the columns allow you to categorize the statement as "Equivalent," "Negation," or "Neither" relative to the original statement. If you need further clarification or have questions, please use the "Explanation" or help icons provided on the interface. © 2022 McGraw Hill LLC. All Rights Reserved. --- This page is designed to help students understand logical equivalence and negation in conditional statements through an interactive table.
Transcribed Image Text:--- ### Identifying Equivalent Statements and Negations of a Conditional #### Consider the given statement: **If it is not spring, then we are not going swimming.** For each statement below, determine whether it is **equivalent** to the given statement, the **negation** of the given statement, or **neither** of these. | **Statement** | **Equivalent** | **Negation** | **Neither** | |-------------------------------------------------------|----------------|--------------|-------------| | If it is spring, then we are going swimming. | ⭘ | ⭘ | ⭘ | | We are not going swimming and it is spring. | ⭘ | ⭘ | ⭘ | | It is not spring and we are going swimming. | ⭘ | ⭘ | ⭘ | | If we are going swimming, then it is spring. | ⭘ | ⭘ | ⭘ | Click the "Explanation" button for detailed information regarding the solution. To submit your answer, click the "Check" button. #### Diagram Explanation: This table provides a structured overview to assess the logical relationships between different conditional statements. Each row presents a statement that needs to be analyzed, and the columns allow you to categorize the statement as "Equivalent," "Negation," or "Neither" relative to the original statement. If you need further clarification or have questions, please use the "Explanation" or help icons provided on the interface. © 2022 McGraw Hill LLC. All Rights Reserved. --- This page is designed to help students understand logical equivalence and negation in conditional statements through an interactive table.
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Thank you so much! So when i make my new p and q statements to start the problem do i make both of those trues so in other words they wouldnt have the words "not spring" " not swim"

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