Symbolic Notation
Types of Statements
Definitions
Laws of Logic
Miscellaneous
100

What does the following symbol mean? 

<->

If and only if

100

What is the symbolic notation for the converse statement? 

Q -> P

100

Define "Logic"

- Reasoning 

-Critical thinking

-Hypothesis/ conclusion


100

If I study then I will get a good grade. If I get a good grade, then I can have ice cream for dinner. 

What can be concluded if I study? 

I can have icecream for dinner. 

100
What type of Pet does Miss. Stitely have? 

Cat 

200

Translate the symbolic notation to words:

P= I am hungry

Q= I eat

P^Q

I am hungry AND I eat

200

If p= It snows and q= we go sledding, what is the contrapositive statement? 

If we do not go sledding then it did not snow. 

200

Define the complement of a set A

The complement of Set A is all elements that are not in the set. 

200

If a triangle is equilateral, then all its sides are congruent.
Triangle △ABC is equilateral.

What can be concluded from this statement. 

All of its sides are congruent. 

200

How many siblings does Miss. Stitely have? 

3 younger sisters :)

300

Translate the following statement to symbolic notation:

P= I study

Q= I get a good grade

I study or I do not get a good grade. 

P V ~Q

300

Identify which type of statement is given below:

p= I am hungry

q= I should eat

If I should eat then, I am hungry

Converse

300

Define what it means for a statement to be biconditional.

2 statements are either true at the same time or false at the same time.

A 2-sided relationship. 

300

If a figure is a square, then it has four right angles.
If a figure has four right angles, then it is a rectangle.

What can be concluded if a figure is a square?

Then it is a rectangle.

300

Which word in the dictionary is spelled incorrectly? 

Incorrectly ;)

400

Translate the following symbolic notation to words:

P= I eat school lunch

Q= I can have pizza

R= I can have chicken

P -> Q V R

If I eat school lunch then I can have pizza or I can have chicken. 

400

write a biconditional statement for:

p= A figure is a triangle

q= All 3 angles add to 180 degrees

A figure is a triangle if and only if all 3 angles add to 180 degrees
400

Define the union of 2 sets A and B.

All elements that belong to A or B or Both. 

400

If a figure is a square, then it has four right angles.
If a figure has four right angles, then it is a rectangle.
Conclusion: If a figure is a square, then it is a rectangle.

Which law of logic is used?

Law of Syllogism

400

What has 13 hearts but no other organs? 

A deck of cards. 

500

Translate the following statement into symbolic notation

  • p: It is sunny.
  • q: We will go to the park.
  • r: We will play soccer.

If we go to the park and we play soccer then it is sunny.

q ^ r -> p
500

Identify which type of statement is given below

p= You do not study

q= you do not get a good grade

If you study then you will get a good grade. 

inverse

500
Define what the truth value of a statement is. 

Whether or not a statement is considered to be true or false. 

500

If a student submits their project, then they will earn credit.
Sarah submits her project.
Conclusion: Sarah earns credit.

Which law of logic is used?

Law of Detachment 

500

What is 3/7 chicken, 2/3 cat, and 2/4 goat?

Chicago

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