Symbolic Notation
What does the following symbol mean?
<->
If and only if
What is the symbolic notation for the converse statement?
Q -> P
Define "Logic"
- Reasoning
-Critical thinking
-Hypothesis/ conclusion
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.
What are the two types of pet that Mrs. O'Faeolain has?
Cats and a horse
Translate the symbolic notation to words:
P= I am hungry
Q= I eat
P^Q
I am hungry AND I eat
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.
Define the complement of a set A
The complement of Set A is all elements that are not in the set.
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.
How many siblings does Mrs. O'Faeolain have?
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
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
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.
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.
Which word in the dictionary is spelled incorrectly?
Incorrectly ;)
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.
write a biconditional statement for:
p= A figure is a triangle
q= All 3 angles add to 180 degrees
Define the union of 2 sets A and B.
All elements that belong to A or B or Both.
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
What has 13 hearts but no other organs?
A deck of cards.
Translate the following statement into symbolic notation
If we go to the park and we play soccer then it is sunny.
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
Whether or not a statement is considered to be true or false.
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
What is 3/7 chicken, 2/3 cat, and 2/4 goat?
Chicago