Inductive reasoning
The number that comes next in the sequence: -1, 3, 7, 11, 15, 19... (Use inductive reasoning)
What is 23?
The truth value of the following statement: IDEA PIKE is located in Massachusetts.
What is False?
The disjunction of p and q, if: p = Sherman is going to the mall. q = Beth is going to the movies.
What is "Sherman is going to the mall or Beth is going to the movies"?
The hypothesis of the following conditional: "If you hear the fire alarm, then you should exit the building."
What is "you hear the fire alarm"?
According to the Law of Detachment, you can conclude this if you know: A: "If you can dream it, you can do it." and B: "You can dream it."
What is "you can do it"?
The number that comes next in the following sequence: -5, 15, -45, 135, ...
What is -405?
The negation of the following statement: Complementary angles add up to 90 degrees.
What is "Complementary angles do not add up to 90 degrees"?
The conclusion of the following conditional: If they raise enough money, then the student group will go on a field trip.
What is "the student group will go on a field trip"?
According to the Law of Syllogism, you can conclude this, if you know that A: "If it is July or August, then it is summer." and B: "If it is summer, then it will not snow."
What is "If it is July or August, then it will not snow."?
The number that comes next in the sequence: 14, 13, 11, 8, 4, -1, -7, ...
What is -14?
Which University do you want to attend?
Adam is a member if and only if he has paid the $5 dues.
What is the conditional statement?
If Adam is a member, then he paid $5.
The law that says if p -> q and q -> r are both true, then p -> r is true.
What is the Law of Syllogism?
The vocabulary word for a guess or prediction made using inductive reasoning.
What is a conjecture? Conclusion
The negation of "Points A, B, and C are collinear".
What is "Points A, B, and C are noncollinear"?
The inverse of the conditional: If you live in Albany, then you live in New York.
What is "If you do not live in Albany, then you do not live in New York."?
The property that justifies the next step you would use in solving the following equation: -3x + 9 = 12
What is the Subtraction Property of Equality?
The next item in the sequence: +.-.+ +.-.-.+ +.-.-.-.+
What is +.-.-.-.-.+?
The student who is right: Student A: "Statements are always true and negations are always false". Student B: "No, statements can be true or false and negations can be true or false"
Who is Student B?
The converse of the following statement: "If a polygon is a rectangle, then it is a square."
"If a polygon is a square, then it is a rectangle"
The property you would use to prove x = 7, with x + 3 - 3 = 10 - 3 given.
What is the Substitution Property?