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Patterns and Inductive Reasoning
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Key Concepts:
Terms in this set (12)
Inductive reasoning
reasoning based on patterns you observe
Conjecture
a conclusion reached based on inductive reasoning
(not always true)
counterexample
an example that shows a conjecture is incorrect
Conditional statements
and if-then statement
hypothesis
the if part of the statement
(inside part)
conclusion
the then part of the statement
(outside part)
negation
the opposite of a statement
(the sky is blue) -> (the sky is not blue)
negation symbol
~p
converse statement
taking your conditional statement and switching the conclusion and the hypothesis
(Can be true or false)
(if p then q) -> (if q then p)
inverse statement
the same order as the conditional where both parts are negated
(Not always true)
(If a is NOT 15 then a is NOT acute)(can be 16)
Contrapositive statement
the same order of the converse where both parts are negated
(True or false depending on conditional)(always the same)
Biconditional statement
a combination of a conditional statement and its converse written in the if and only if form
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