WS – Constructing Logic Proofs (Two Columns)
WS – Constructing Logic Proofs (Two Columns)
|Statements |Reasons |
|1. [pic] |1. Given |
|2. [pic] |2. Given |
|3. [pic] |3. Contrapositive of 1 |
|4. [pic] |4. Law of Syllogism of 2 and 3 |
1.
2.
|Statements |Reasons |
|1. [pic] |1. Given |
|2. [pic] |2. Given |
|3. [pic] |3. Given |
|4. [pic] |4. Contrapositive of 1 |
|5. [pic] |5. Law of Syllogism of 2 and 3 |
|6. [pic] |6. Law of Syllogism of 4 and 5 |
|7. [pic] |7. Contrapositve of 6 |
3.
|Statements |Reasons |
|1. [pic] |1. Given |
|2. [pic] |2. Given |
|3. [pic] |3. Given |
|4. [pic] |4. Contrapositive of 2 |
|5. [pic] |5. Contrapositive of 3 |
|6. [pic] |6. Law of Syllogism of 4 and 5 |
|7. [pic] |7. Law of Syllogism of 1 and 6 |
4.
|Statements |Reasons |
|1. [pic] |1. Given |
|2. [pic] |2. Given |
|3. [pic] |3. Given |
|4. [pic] |4. Contrapositive of 2 |
|5. [pic] |5. Law of Syllogism of 3 and 4 |
|6. [pic] |6. Law of Syllogism of 1 and 5 |
|Statements |Reasons |
|1. [pic] |1. Given |
|2. [pic] |2. Given |
|3. [pic] |3. Given |
|4. [pic] |4. Contrapositive of 1 |
|5. [pic] |5. Contrapositive of 2 |
|6. [pic] |6. Law of Syllogism of 3 and 5 |
|7. [pic] |7. Law of Syllogism of 4 and 6 |
5.
Additional Practice Proofs:
|Statements |Reasons |
|1. [pic] |1. Given |
|2. [pic] |2. Given |
|3. [pic] |3. Contrapositve of 1 |
|4. [pic] |4. Law of Syllogism of 2 and 3 |
1.
2.
|Statements |Reasons |
|1. [pic] |1. Given |
|2. [pic] |2. Given |
|3. [pic] |3. Given |
|4. [pic] |4. Contrapositive of 1 |
|5. [pic] |5. Law of Syllogism of 3 and 4 |
|6. [pic] |6. Law of Syllogism of 1 and 5 |
3.
|Statements |Reasons |
|1. [pic] |1. Given |
|2. [pic] |2. Given |
|3. [pic] |3. Given |
|4. [pic] |4. Law of Syllogism of 2 and 3 |
|5. [pic] |5. Law of Syllogism of 1 and 4 |
|6. [pic] |6. Contrapositive of 5 |
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