HW 2 - Unit 2 - Conditional Statements

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

• 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 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 statement does this represent?
 $a\rightarrow b$  

• Conditional

• Inverse

• Converse

• Contrapositive

What statement does this represent?
 $b\rightarrow a$  

• Conditional

• Inverse

• Converse

• Contrapositive

What statement does this represent?
 $\sim b\rightarrow\sim a$  

• Conditional

• Inverse

• Converse

• Contrapositive

What statement does this represent?
 $\sim a\rightarrow\sim b$  

• Conditional

• Inverse

• Converse

• Contrapositive

What is the symbolic notation for inverse?

• $a\rightarrow b$

• $\sim a\rightarrow\sim b$

• $b\rightarrow a$

• $\sim b\rightarrow\sim a$

What is the symbolic notation for converse?

• $a\rightarrow b$

• $\sim a\rightarrow\sim b$

• $b\rightarrow a$

• $\sim b\rightarrow\sim a$

What is the symbolic notation for contrapositive?

• $a\rightarrow b$

• $\sim a\rightarrow\sim b$

• $b\rightarrow a$

• $\sim b\rightarrow\sim a$