Logic

If a represents "Brent works this summer" and b represents "Brent takes a vacation" which symbols best represent the statement "If Brent works this summer then he will not take a vacation."

• a → b

• a ⋀ b

• a → ~ b

• a ⋀ ~ b

Tags

CCSS.HSS.CP.A.1

If a represents "Brent works this summer" and b represents "Brent takes a vacation" which symbols best represent the statement "Therefore, Brent will not take a vacation."

• ∴ ~b

• ∴ ~a

• → ~b

• → ~a

If a represents "Brent works this summer" and b represents "Brent takes a vacation" which symbols best represent the statement "Brent will work and take a vacation this summer."

• a → b

• a ⋀ b

• a ⋁ b

• a ↔ b

If a represents "Two angles are vertical angles" and b represents "The angles are congruent" which symbols best represent the statement "If two angles are not congruent, then the angles are not vertical angles."

• a → b

• ~a → ~b

• b → a

• ~b → ~a

Tags

CCSS.HSG.CO.C.9

If a represents "Two angles are vertical angles" and b represents "The angles are congruent" which symbols best represent the statement "Two angles are not vertical angles and the angles are congruent"

• a ⋀ b

• a ⋁ b

• ~a ⋁ b

• ~a ⋀ b

Tags

CCSS.HSG.CO.C.9

If a represents "Two angles are vertical angles" and b represents "The angles are congruent" which symbols best represent the statement "Two angles are vertical angles if and only if they angles are congruent." (and yes, this is a false statement)

• a ↔ b

• a → b

• a ∴ b

• a ⋀ b

Which is a counterexample for the following conditional:
If an electronic device has a screen then it is a television.

• television
• cell phone
• computer mouse
• keyboard

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.

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

Tags

CCSS.HSS.CP.A.3

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

• Converse
• Inverse
• Contrapositive
• Negation

Tags

CCSS.HSS.CP.A.1