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.