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Mathematics 9 Online
OpenStudy (anonymous):

TRUE OR FALSE? The inverse of the statement “If it is the summer, then I am swimming” is “If I am swimming, then it is the summer”

OpenStudy (anonymous):

@Loser66 @jim_thompson5910

jimthompson5910 (jim_thompson5910):

Hint: original: If P, then Q inverse: If not P, then not Q

jimthompson5910 (jim_thompson5910):

P and Q can be replaced with statements

OpenStudy (acxbox22):

Inverse If not p, then not q.

OpenStudy (acxbox22):

extra hint: in this case summer is p and swimming is q so not p would be not summer

OpenStudy (anonymous):

hmm...

OpenStudy (anonymous):

so its false?

jimthompson5910 (jim_thompson5910):

what is the inverse in this case?

OpenStudy (anonymous):

If not summer, no swim

jimthompson5910 (jim_thompson5910):

yeah you have the right idea I would say "If it's not summer, then I won't swim" so that shows why it's false

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