Unit : AL - 2 - Conditional Statement

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 hypothesis.

• If I have a Siberian Husky.
• I have a Siberian Husky.
• Then I have a dog.
• I have a dog.

What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."

• if they add up to 180 degrees
• the angles are supplementary
• they add up to 180 degrees
• there is no conclusion

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

• Converse
• Inverse
• Contrapositive
• Negation

Is the given statement true:
If the chair is empty, then class is not in session.

• True.  Class can't happen if a chair isn't occupied.
• False.  Someone could be absent.
• True. Nobody sits down so we don't do work.
• True.  There are no chairs here, so the hypothesis is true.

What is the biconditional statement of the following conditional statement?
“If Shelly lives in Texas, then she lives in the United States.”

• If Shelly lives in Texas, then she lives in the United States.
• If Shelly lives in the United States, then she lives in Texas.
• Shelly lives in Texas if and only if she lives in the United States.
• If Shelly does not live in Texas, then she does not live in the United States.

What is the converse to this statement?

• If it isn't dark outside, then it is not night.
• If it is night, then it is dark outside
• If it is not night, then it is not dark outside.
• It is night.

What is the inverse to this statement?

• If you live in Canada, you live in Montreal
• If you don't live in Montreal, then you don't live in Canada.
• If you don't live in Canada, you don't live in Montreal.
• Montreal is in Brazil.

What is the contrapositive to this?

• If the food is not cooked, then it is not in the oven.
• If the food is not in the oven, then it is not cooked.
• If the food is cooked, then its in the oven.
• If food is not in the oven, then its cooked.

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.