Logic Test

Find the contrapositive of the following statement:

"If Jack plays baseball, then Jack participates in sports."

• If Jack participates in sports, then Jack plays baseball.

• If Jack does not play baseball, then Jack does not participate in sports.

• If Jack does not participate in sports, then Jack does not play baseball.

• If Jack does not play baseball, then Jack participates in sports.

Tags

CCSS.RI.7.8

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RL.9-10.1

Which of the following is a counterexample to the following statement:

"If the product of two numbers is 24, then both of the numbers are even."

• (3)(8)

• (2)(12)

• (4)(6)

• (6)(3)

"If a number is a multiple of 10, then the number is even." The statement above is true. However, its converse is not always true. Which number could be used as a counter-example to show that the converse of the statement above is sometimes false?

• 50

• 90

• 102

• 105

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

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

What does this mean?

• Conditional Statement
• Converse
• Inverse
• Contrapositive

This symbol, ∨, means?

• and
• or
• not
• implies

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

This symbol, ∧, means?

• and
• or 
• not 
• implies

Tags

CCSS.HSS.CP.A.1

This symbol, ↔, means?

• and
• or 
• if and only if
• implies

Tags

CCSS.HSS.CP.A.1