Consider the following argument. If Keegan doesn't buy groceries, he will order take-out for dinner. Keegan bought groceries. Therefore, Keegan will not order take-out. Which statement is its conclusion? Keegan will not order take-out If Keegan doesn't buy groceries, he will order take-out. Keegan will order take-out Keegan didn't buy groceries Keegan bought groceries Which statements are its premises? Select all that apply. Keegan bought groceries Keegan will order take-out If Keegan doesn't buy groceries, he will order take-out. Keegan didn't buy groceries Keegan will not order take-out How will we symbolize the premises and conclusion using the simple statements: p - Keegan buys groceries q.- Keegan orders take-out Premise 1: Select an answer Premise Conclusion: square

To analyze the argument, let's break it down:<br /><br />1. **Identify the conclusion**: The conclusion of the argument is the statement that follows logically from the premises. In this case, the conclusion is "Keegan will not order take-out."<br /><br />2. **Identify the premises**: The premises are the statements that provide the basis for the conclusion. In this argument, the premises are:<br /> - "If Keegan doesn't buy groceries, he will order take-out for dinner."<br /> - "Keegan bought groceries."<br /><br />3. **Symbolize the premises and conclusion using the simple statements**:<br /> - Let \( p \) represent "Keegan buys groceries."<br /> - Let \( q \) represent "Keegan orders take-out."<br /><br /> Using these symbols:<br /> - Premise 1: "If Keegan doesn't buy groceries, he will order take-out" can be symbolized as \(\neg p \rightarrow q\).<br /> - Premise 2: "Keegan bought groceries" can be symbolized as \(p\).<br /><br /> Conclusion: "Keegan will not order take-out" can be symbolized as \(\neg q\).<br /><br />In summary:<br />- **Conclusion**: Keegan will not order take-out.<br />- **Premises**: <br /> - If Keegan doesn't buy groceries, he will order take-out.<br /> - Keegan bought groceries.<br /><br />- **Symbolization**:<br /> - Premise 1: \(\neg p \rightarrow q\)<br /> - Premise 2: \(p\)<br /> - Conclusion: \(\neg q\)