Logic

Which of the following statements is the converse of

"If the moon is full, then the vampires are prowling.”

• If the vampires are prowling, then the moon is full.

• If the vampires are not prowling, then the moon is not full.

• If the moon is not full, then the vampires are prowling.

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

Which of the following statements is the inverse of

"If you do not understand geometry, then you do not know how to reason deductively."?

• If you reason deductively, then you understand geometry.

• If you understand geometry, then you reason deductively.

• If the do not reason deductively, then you understand geometry.

• If you understand geometry, then you do not know how to reason deductively.

Which of the following statements is the contrapositive of

"If you understand logic, you will be a good consumer."?

• If you are a good consumer, then you understand logic.

• If you are not a good consumer, then you do not understand logic.

• If you do not understand logic, then you will not be a good consumer.

• If you understand logic, you will not be a good consumer.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is Logically Equivalent to  $L\rightarrow\sim K$  

•  $\sim L\rightarrow K$  

•  $K\rightarrow\sim L$  

•  $\sim L\vee K$  

•  $K\vee\sim L$  

Tags

CCSS.HSS.CP.A.1

Which of the following statements is logically equivalent to

"If you live in a mansion, then you have a big heating bill."?

• If you have a big heating bill, then you live in a mansion.

• If you do not live in a mansion, then you do not have a big heating bill.

• If you do not have a big heating bill, then you do not live in a mansion.

• If you live in a mansion, then you do not have a big heating bill.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

 Use DeMorgan’s Law to draw a valid conclusion  $\sim\left(p\wedge\sim q\right)$  

•  $\sim p\vee q$  

•  $\sim p\wedge q$  

•  $p\vee\sim q$  

•  $p\wedge\sim q$  

Draw a valid conclusion and state the Law used:

 $\sim j\rightarrow\sim m$  

 $\sim j$  

• m, Disjunctive Inference

• ~m, Disjunctive Inference

• ~m, Law of Detachment 
  

• m, Law of Detachment 

From the two given statements, which is a valid conclusion and the Law used?
 $\sim p\vee\sim q$  
 $p$  

• ~q, Law of Detachment

• ~q, Disjunctive Inference 

• q, Law of Detachment

• q, Disjunctive Inference

Which Law is being used?

• DeMorgan's Law

• Law of Detachment

• Law of Contrapositive

• Chain Rule

Fill in the 3 missing Reasons "?"

• 3) Law of Detachment
  4) Disjunctive Inference
  6) DeMorgan's Law

• 3) Law of Detachment
  4) DeMorgan's Law
  6) Chain Rule

• 3) Law of Detachment
  4) DeMorgan's Law
  6) Disjunctive Inference

• 3) Law of Detachment
  4) Law of Contrapositive
  6) Disjunctive Inference