Inductive reasoning
The number that comes next in the sequence: -1, 3, 7, 11, 15, 19... (Use inductive reasoning)
What is 23?
Turn this into an If Then statement...
It is St. Patrick's Day. It is March
What is...If it is St. Patrick's Day, then it is March.
What is "Conditional Statement"
The hypothesis of the following conditional: "If it is St. Patrick's Day, then it is March."
What is "If it is St. Patrick's Day"?
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 If then of the following statement: Complementary angles add up to 90 degrees.
What is "If they are complementary angles, then they add up to 90 degrees"?
What is "converse"?
The conclusion of the following conditional: If it is St. Patrick's Day, then it is March.
What is "It is March"?
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?
The statement always starts a then statement and ends with an if statement.
What is "false"?
~p --> ~q
What is "inverse"
The contrapositive of the conditional...
If it is St. Patrick's Day, then it is March.
What is "If it is not March, then it is not St. Patrick's Day.
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?
The word for a statement that proves the statement false.
What is "counterexample"?
~q --> ~p
What is "contrapositive"?
The inverse of the conditional: If it is St. Patrick's Day, then it is March.
What is "If it is not St. Patrick's Day, then it is not March"?
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 +.-.-.-.-.+?
Counterexample to: If it is St. Patrick's Day, then it is March.
What is "March 1, 2, 3, 4, 5, 6....?
p "if and only if" q
p<-->q
What is "~p ^ ~q"? Or ~p ^ q; p ^ ~q; ~p v ~q
The biconditional statement of "If it is St. Patrick's Day, then it is March."
What is "It is St. Patrick's Day if and only if it is March"?
The property you would use to prove x = 7, with x + 3 - 3 = 10 - 3 given.
What is the Substitution Property?