Day 3 DOL

What is this?

• Conditional Statement
• Inverse
• Converse
• THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

For the converse we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate

p→q
What is the converse?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q

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.

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.

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. 

Is this statement true?

• True.  Class can't happen if a chair isn't occupied.
• False.  There are empty chairs here.
• True. 
• True.  There are no chairs here, so the hypothesis is true.

What has to happen in order to write a biconditional statement?

• conditional has to be true
• converse of the conditional has to be true
• all the above
• none of the above

What counterexample makes the following biconditional false?

"It is Halloween if and only if it is October 31."

• This is a true biconditional, so it has no counterexamples.

• It is not October 31.

• I don't celebrate Halloween.

• It is October 30.