The number of counterexamples needed to prove something is conjecture is false.
What is 1?
The symbol for a conjunction.
What is ∧ ?
The symbol for conclusion.
What is q?
The type of reasoning that uses facts, rules, definitions, and properties to reach a logical conclusions from given statements.
What is deductive reasoning?
a(b + c) = ab + ac
What is distributive property?
The concluding statement reached using inductive reasoning.
What is a conjecture?
The symbol for "or" which is a disjunction.
What is ∨ ?
A statement in the form p q.
What is a conditional statement?
The law that uses 3 true statements.
What is the law of syllogism?
If a = b, then b = a.
What is symmetric property?
The conjecture for the pattern: 3, 6, 9, 12, 15
What is multiples of 3?
The opposite meaning of the original statement.
What is the negation?
The hypothesis of the statement: If the forecast is rain, then I will take an umbrella.
What is the forecast is rain?
If p q, and q
r, then p
r
If 2x + 4 = 30, then 2x = 26.
What is the subtraction property?
A conjecture for the product of two and a number, plus one.
What is the result is odd?
The compound statement where the only time the value is true, is when both p and q are true.
What is a conjunction?
The converse of the statement: If two angles are adjacent, then they have a common side.
What is If two angles have a common side, then they are adjacent?
The conclusion to: If three point s are noncollinear, they determine a plane. Points A, B, and C are noncollinear.
What is they are all on the same plane?
AB + BC = AC
What is segment addition postulate?
The truth value of the statement: If <2 and <3 are supplementary angles, then <2 and <3 form a linear pair.
What is false because not all supplementary angles are linear?
The conjunction statement when p= A week has seven days, and q= there are 20 hours in a day.
What is p ∧ q?
The truth value for the conditional statement: If two angles are congruent, then they are vertical angles.
What is false?
The conclusion to: If a triangle is a right triangle, then it has an angle that measure 90 degrees. If a triangle has an angle that measures 90 degrees, then it's acute angles are complementary.
What is if a triangle is a right triangle, then it's acute angles are complementary?
m<ABC = m<ABC
What is reflexive property?