symbolic Logic

What is the converse of the following statement?
If it is Saturday, then the school is closed

• If the school is closed, then it is Saturday.

• If it is not Saturday, then the school is not closed.

• 
  If the school is not closed, then it is not Saturday.

• If it is Saturday, then the school is closed

If P represents, "I like Pepsi," and q represents, "I like Coke," which symbolic statement means, "I like Pepsi, and I do not like Coke"?

• P∨∼q

• 
  

  ∼P∧C

• P∧∼q

• 
  P→∼q

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

p: Ram eats apples.
q: Ram drinks juice.

Write the following:

p∨∼q 

• Ram eats apples or Ram does not drink juice.

• Ram eats apples and Ram drinks juice.

• 
  If Ram eats apples, then Ram does not drink juice.

• 
  

  Ram does not eat apples or drink juice.

What is a compound statement using the word "or" called?

• 
  Conjunction

• Disjunction

• 
  Truth Table

• 
  

  Consequences

What type of logic is this table showing:

• 
  AND

• OR

• NOT

• NOR

Which of the following set of values would correctly complete this table?

• 
  T F F F

• T T F F

• 
  T T T F

• 
  F T F T

Original Statement: 
      If I am hungry then I will eat a whole pizza.
New Statement:
     If I am not hungry then I will eat a whole pizza.

• 
  Converse

• 
  Inverse

• Contrapositive

• None of the above

For the contrapositive we _________ the hypothesis and conclusion.

• 
  switch

• 
  negate

• switch and negate

• nothing

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

This symbol, ↔, means?

• and

• 
  or 

• 
  if and only if

• implies

Write the converse of the statement:
If an animal is a dog then it does not moo.  

• 
  If an animal is not a dog then it does moo

• 
  If an animal can moo then it is not a dog

• 
  If an animal does not  moo then it is a dog

• An animal is a dog if and only if it can moo

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A