Logic

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

What does this mean?

• Conditional Statement
• Inverse Statement
• Converse Statement
• Contrapositive Statement

What does this mean?

• Conditional Statement
• Converse
• Inverse
• Contrapositive

This symbol, ∨, means?

• and
• or
• not
• implies

This symbol, ∧, means?

• and
• or 
• not 
• implies

This symbol, ↔, means?

• and
• or 
• if and only if
• implies

Consider the statement:

If Ed lives South of Canada, then he lives in Texas.

Which of the following is a COUNTEREXAMPLE to this false statement?

• If Ed lives South of Canada, then he lives in Minnesota.

• If Ed lives North of Canada, then he lives in Texas.

Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy

• You have more energy
• If you exercise regularly, then you have more energy
• You have a healthy body
• If you do not have a healthy body, then you do not exercise regularly