Understanding Logical Statements in Equations

Match the statement to its forms based on the statement below:

"If the ground is wet, then it has rained."

• Inverse

• If it rains, then the ground will be wet.

• Contrapositive

• If it does not rain, then the ground will not be wet.

• Converse

• If the ground is not wet, then it has not rained.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the if-then-form of the following statement? "It is time for dinner if it is 6 pm."

• If it is 6pm, then it is time for dinner.
• If it is time for dinner, then it is 6pm.
• If you want to eat dinner, then you must eat at 6pm.
• None of these are right

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the if-then-form of the following statement? "You will always pass the test when you study."

• If you study, then you will pass the test.

• If you pass the test, then you studied.

• If you want to pass, you must study.

• None of these are right

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Identify the counterexample to the following conditional.

"If it rains, then school will be canceled."

• A sunny day with school

• A rainy day where school is canceled

• A sunny day where school is canceled

• A rainy day with school

Tags

CCSS.L.11-12.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.9-10.2D

Select all of the counterexamples to the following statement.

"If x is odd, then x is prime.'

• 3

• 4

• 9

• 11

• 15