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conjecture
is an unproven statement based on an observation
Observation: Regina wears a pink shirt on wednesday
today is wednesday
: Regina will wear a pink shirt today
conditional statement
a statement with an hypothesis and conclusion
Today is a Wednesday, so Regina will wear a pink shirt today
if-then statement
a statement that has: the hypothesis has an if and then has the conclusion
If today is a Wednesday, the Regina will wear a pink shirt today.
Converse
flipping the conjecture and hypothesis
If Regina will wear a pink shirt today, then today is Wednesday
Inverse:
Negating both the hypothesis and conclusion AND flipping it around
If today is not a Wednesday, then Regina will not wear a pink shirt toDAY
Contrapositive:
Flipping the negated hypothesis and conclusion (or write the converse then negate it)
If Regina will not wear a pink shirt today, then today is not a Wednesday
Bi-conditional statement:
Statement that speaks truth and only the truth
Statement that has a proven conjecture
Iff or if and only if