**Using truth tables to compare
statements.**

1. Use a truth table to decide each of the following (and explain how you determined each answer):

a) are the statements consistent?

b) does the first statement imply the second?

c) does the second imply the first?

d) are the statements equivalent?

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solution]

2. Use a truth table to decide each of the following (and explain how you determined each answer):

a) are the statements consistent?

b) does the first statement imply the second?

c) does the second imply the first?

d) are the statements equivalent?

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solution]

3. Use a truth table to answer the following questions about the following 3 statements.

a) Are 1-2 consistent with 3?

b) Do any of 1-2 individually imply 3?

c) Do 1-2 jointly imply 3?

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solution]

4. Use a truth table to answer the following questions about the following 4 statements.

a) Are 1-2 consistent with 3?

b) Do any of 1-2 individually imply 3?

c) Do 1-2 jointly imply 3?

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solution]

5. Use a truth table to answer the following questions about the
following 4 statements.

a) Are 1-3 consistent with 4?

b) Do any of 1-3 individually imply 4?

c) Do 1-3 jointly imply 4?

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solution]