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Pritchard Murphy
12/24/2023 · High School

Question 3 Consider the following argument. If Trevor doesn't buy groceries, he will order take-out for dinner. Trevor bought groceries. Therefore, Tre will not order take-out. Which statement is its conclusion? Trevor will not order take-out Trevor bought groceries If Trevor doesn't buy groceries, he will order take-out. Trevor didn't buy groceries Which statements order take-out its premises? Select all that apply. \( \square \) Trevor will not order take-out \( \square \) Trevor bought groceries \( \square \) Trevor didn't buy groceries \( \square \) If Trevor doesn't buy groceries, he will order take-out. \( \square \) Trevor will order take-out Pow will we symbolize the premises and conclusion using the simple statements: p -- Trevor buys groceries Premise 1: Select an answer \( v \) Premise \( 2: \) ? \( v \) Conclusion: \( \checkmark \)

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Step-by-step Solution

To symbolize the premises and conclusion using simple statements, we can assign variables to the statements provided in the argument. Let's assign the following variables: - \( p \): Trevor buys groceries - \( q \): Trevor orders take-out Given the statements in the argument: 1. If Trevor doesn't buy groceries, he will order take-out. This can be symbolized as \( \neg p \rightarrow q \). 2. Trevor bought groceries. This can be symbolized as \( p \). 3. Trevor will not order take-out. This can be symbolized as \( \neg q \). Now, let's determine the premises and conclusion: - Premise 1: \( \neg p \rightarrow q \) - Premise 2: \( p \) - Conclusion: \( \neg q \) Therefore, the premises are: - Premise 1: \( \neg p \rightarrow q \) - Premise 2: \( p \) And the conclusion is: - Conclusion: \( \neg q \)

Quick Answer

Premise 1: \( \neg p \rightarrow q \) Premise 2: \( p \) Conclusion: \( \neg q \)
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