What is the truth value of A and B if A and B are both false?
False
100
What is the next term in the sequence? 1, 2, 3, 4, 5, 6, ...
7. Use inductive reasoning
100
Formulate a conjecture about who will be the first student in class tomorrow. Explain your reasoning
Answers will vary
100
Identify the hypothesis of r -> s
r
100
In a conditional statement, the hypothesis comes after the "if" and the _________ comes after the "then"
conclusion
200
Is the following statement true or false:
All complementary angles share a common side
false. Ex: disjoint 45 degree angles
200
Is the following an example of inductive or deductive reasoning? All s'mores contain marshmallows. Jose is eating a s'more, therefore, Jose is eating a marshmallow.
deductive
200
Give a counter example to the following statement: Everyone in this class is wearing orange.
Answers will vary
200
Turn "all barbers give haircuts" into a conditional statement.
If you're a barber then you give haircuts.
200
Explain what the truth value of a statement means
Whether the statement is true or false.
300
What is the truth value of (p v q) ^ r if p is true, q is false, and r is true?
True
300
Is the following an example of inductive or deductive reasoning? Mr. Johnston has worn a tie every school day that is not a Friday. Tomorrow is a school day that is not a Friday, therefore, Mr. Johnston will wear a tie tomorrow.
inductive
300
Jack says that all perpendicular lines form 4 right angles. Jill says she has a counter example and draws a single right angle and says that proves Jack's conjecture wrong. Who is right, Jack or Jill?
Jack is right. Jill drew perpendicular segments, not lines.
300
What is the contrapositive of s -> t
~t -> ~s
300
Define Conjecture
Educated Guess
400
What is the truth value of (~p ^ q) v r if p is false, q is true, and r is false?
True
400
Use deductive reasoning to formulate a conclusion. All orangutans are apes. Bertha is an orangutan.
Bertha is an ape
400
Formulate a counter example to the following statement: All conditional statements are true.
Answers will vary
400
What is the inverse of "if you're a native to Mars then you're green"
If you're not native to mars, then you're not green.
400
What law states p -> q. p is true. Therefore, q is true.
The law of Detachment
500
What is the truth value of the following statement?
11+12 = 25 or all triangles are polygons.
true, 11 + 12 = 25 is false, but all triangles are polygons is true. This makes the entire or statement true.
500
Use deductive reasoning to formulate a conclusion. All grilled cheese sandwiches have cheese. The contrapositive of this statement is also true. Steve has no cheese.
Steve cannot make a grilled cheese
500
Formulate a conjecture about the orientation (positive or negative) of a - b when a is less than b.
a - b is negative
500
Turn the following statement into a conditional statement then take the converse of the conditional statement: All policemen have blue uniforms.
Everyone with a blue uniform is a policeman
500
A biconditional statement is defined by what 4 words?