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Given the statement "If I want to become an engineer, then I need to pass Calculus III." Find the inverse. Of I want to become an engineer, then I need to pass Calculus III. If I need to pass Calculus III, then I want to become an engineer. If I do not want to become an engineer, then I do not need to pass Calculus III. If I do not need to pass Calculus III, then I do not want to become an engineer.

Ask by Summers Pritchard. in the United States
Mar 10,2025

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Answer

If I do not want to become an engineer, then I do not need to pass Calculus III.

Solution

Let the statement be represented as: \( P \to Q \) where \( P \): "I want to become an engineer" \( Q \): "I need to pass Calculus III" The inverse of a conditional statement \( P \to Q \) is given by: \( \neg P \to \neg Q \) Here, the inverse becomes: "If I do not want to become an engineer, then I do not need to pass Calculus III." Thus, the correct answer is: If I do not want to become an engineer, then I do not need to pass Calculus III.

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To find the inverse of a conditional statement, you negate both the hypothesis and the conclusion. So, for "If I want to become an engineer, then I need to pass Calculus III," the inverse will be: "If I do not want to become an engineer, then I do not need to pass Calculus III." This crafts a scenario where the absence of wanting to pursue engineering implies that Calculus III is unnecessary. Now let’s get creative with it! Imagine you're in a whimsical world of logic! Here, if you decide that engineering isn’t your cup of tea (or latte), then you merrily skip past Calculus III without a worry! It’s a fun way to explore the world of choices—you could be venturing into art, literature, or even becoming a professional cloud watcher!

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