Subjects logic

Converse Inverse Contrapositive 5139B1

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Converse Inverse Contrapositive 5139B1


1. **Problem Statement:** Write the converse, inverse, and contrapositive of the statement: "If we have a quiz today, then we will not have a quiz tomorrow." 2. **Recall definitions:** - Converse: Switch the hypothesis and conclusion. - Inverse: Negate both the hypothesis and conclusion. - Contrapositive: Switch and negate both the hypothesis and conclusion. 3. **Identify parts:** - Hypothesis (p): We have a quiz today. - Conclusion (q): We will not have a quiz tomorrow. 4. **Write the converse:** Converse: If we will not have a quiz tomorrow, then we have a quiz today. 5. **Write the inverse:** Inverse: If we do not have a quiz today, then we will have a quiz tomorrow. 6. **Write the contrapositive:** Contrapositive: If we will have a quiz tomorrow, then we do not have a quiz today. **Final answers:** - Converse: If we will not have a quiz tomorrow, then we have a quiz today. - Inverse: If we do not have a quiz today, then we will have a quiz tomorrow. - Contrapositive: If we will have a quiz tomorrow, then we do not have a quiz today.