inductive and deductive reasoning

What conclusion can be drawn from the following statements?
If the stereo is on, then the volume is loud.  
If the volume of the stereo is loud, then the neighbors will complain.

• If the neighbors complain, then the stereo will be loud.
• If the stereo is on, then the neighbors will complain.
• If the stereo is volume is loud, then the stereo is on.
• If the stereo is on, then the volume is loud.

What can be concluded from the following statements?  
If Mike rakes leaves, then he bags them .
If Mike bags the leaves then he mows the lawn.

• If Mike mows the lawn then he bags the leaves.
• If Mike bags the leaves then he rakes.
• If Mike does not mow the lawn, then he did not rake the leaves.
• If Mike mows the lawn then he bags the leaves.

Using deductive reasoning, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...

• Look out for the snowplows while driving to school.
• The big test will not be given today.
• The roads will be hard to drive on.
• You should call the school to see if school is canceled.

IF 3...6...9...12...
AND 24...27...30...?
THEN the next term is going to be 33

• Inductive
• Deductive

Tags

CCSS.5.OA.B.3

What can be concluded from the following statements?
If Tom goes fishing then he brings a pole.
If Tom brings his pole then he catches a fish.

• If Tom goes fishing then he catches a fish.
• If Tom brings his pole then he goes fishing
•  If Tom catches a fish then he brought his pole.
• If Tom brings his pole then he catches a fish.

Using the statements:
If it is Friday, then I will get paid.
It is Friday.
What is the conclusion?

• It is not Friday
• It is Friday
• I will not get paid
• I will get paid

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Given the conditional statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

• If I eat, then I am hungry.

• If I don't eat then I am not hungry

• If I am not hungry, then I don't eat.

• If I am not hungry, then I eat.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Given the conditional statement;

"If it is Wednesday, then Jane doesn't have baseball practice."

What is the hypothesis of this statement.

• It is Wednesday

• Jane doesn't have baseball practice

• If it is Wednesday

• Then Jane doesn't have baseball practice

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Given the conditional statement;

"If Max gets good grade, then he won't be grounded"

Which of the following is the contrapositive?

• If Max isn't grounded then he gets good grades.

• If Max doesn't get good grade then he will be grounded.

• If Max gets grounded then he doesn't get good grades.

• If Max gets good grades, the he will get grounded.

Given the conditional;

"If Ty'Shawn is late then he will get a tardy"

What is the inverse?

• If Ty'Shawn is on time, then we won't get a tardy.

• If Ty'Shawn gets a tardy, then he is late.

• If Ty'Shawn is late then he won't get a tardy.

• If Ty'Shawn doesn't get a tardy, then he is on time.

Tags

CCSS.HSS.CP.A.1