Deductive or Inductive Reasoning? We had rain each day for the last five days, so it will rain today. Students at Olivia’s high school must have a B average in order to participate in sports. Olivia has a B average, so she concludes that she can participate in sports at school. Holly notices that every Saturday, her neighbor mows his lawn. Today is Saturday. Holly concludes her neighbor will mow his lawn.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Deductive or Inductive Reasoning?

  1. We had rain each day for the last five days, so it will rain today.
  2. Students at Olivia’s high school must have a B average in order to participate in sports. Olivia has a B average, so she concludes that she can participate in sports at school.
  3. Holly notices that every Saturday, her neighbor mows his lawn. Today is Saturday. Holly concludes her neighbor will mow his lawn.
  4. A person must have a membership to work out at a gym. Jesse is working out at a gym. Jesse has a membership to the gym.
  5. All home improvements cost more than the estimate. The contractor estimated that my home improvement will cost ₱35,000. Thus my home improvement will cost more than ₱35,000.
  6. A dental assistant notices a patient has never been on time for an appointment. She concludes the patient will be late for her next appointment.
  7. At Fumio’s school if you are late five times, you will receive a detention. Fumio has been late to school five times; therefore he will receive a detention.
  8. I know I will win a jackpot on this slot machine in the next 10 tries, because it has not paid out any money during the last 45 tries.
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