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which of the following is an example of deductive reasoning?
a. all the english teachers at my school are women, so my next english teacher will be a man.
b. my music teacher in middle school was a man, so my music teacher in high school will likely be a woman.
c. all the gym teachers at my school are women, so my gym teacher this year will be a woman.
d. my math teacher in middle school was a man, so my math teacher in high school will probably be a man.
Deductive reasoning starts with a general, confirmed premise and draws a specific conclusion from it. Option C uses the universal premise "All the gym teachers at my school are women" to logically conclude that the specific gym teacher this year will be a woman. The other options use past individual experiences to make predictions about future individuals, which is inductive reasoning, not deductive.
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C. All the gym teachers at my school are women, so my gym teacher this year will be a woman.