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: Justice High School is located in Fairfax County.
What is true?
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 Inverse of "If it is a door, then it has a handle."
What is "If it is not a door, then it does not have a handle"?
According to the Law of Detachment, you can conclude this if you know:
"If you can dream it, you can do it." and
"You can dream it."
What is "you can do it"?
The number that comes next in the 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 truth value of the conjunction of p and q, if...
p = Vertical angles are congruent
q = 1 - 3 < 1
What is "true"?
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
"If it is July or August, then it is summer."
"If it is summer, then it will not snow."
What is "If it is July or August, then it will not snow."?
-- or --
What is "If it will snow, then it is not July or August."?
The number that comes next in the sequence:
14, 13, 11, 8, 4, -1, -7, ...
What is -14?
A logically equivalent statement to ...
"If Mary goes to the park, then she can not go to Sally's house."
What is "If Mary is at Sally's house, then she did not go to the park"?
If statement p is "President Barack Obama was born in 1850", a statement q that makes the following disjunction true:
p v q.
What is "Barack Obama is a former president"? (Any true statement)
Converse of the statement "If it is raining, then I will stay inside."
What is "If I stay inside, then it is raining"?
The law that says if p -> q and q -> r are both true,
then p -> r is true.
What is the Law of Syllogism?
This is a "Brief definition of Inductive Reasoning."
What is "Observing a pattern to predict what comes next."
The negation of "Points A, B, and C are collinear".
What is "Points A, B, and C are noncollinear"?
The truth value of a conjunction made up of one true statement and one false statement.
What is "false"?
The biconditional of "A penny is a coin worth one cent"
What is "It is a penny if and only if it is a coin worth one cent"?
The property that justifies the next step you would use in solving the following equation:
-3x - 9 = 12
What is the Addition 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: "Statements can be true or false and negations can be true or false"
Student C: "If the negation is false, then the statement must be true."
Who is Students B and C?
A symbolic compound statement using p and q with a truth value of "false" if...
p = Vertical angles are congruent.
q = The sum of the measures of supplementary angles is 180.
What is "~p ^ ~q"?
~p ^ q; p ^ ~q; ~p v ~q; p-->~q
The biconditional of "All picture frames are shaped like rectangles"
What is "it doesn't exist"?
According to the Law of Detachment, you can conclude this, if you know that
"If it is July or August, then it is summer."
"It is not summer."
What is "It is not July or August"?