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Determine if the following is inductive or deductive: "If a number ends with a 5, then that number is divisble by 5. 25 is divisible by 5" "if two lines do not have the same slope, then they are not parallel. Perpendicullar lines are not parallel" "it always rains on the 4th of july" "My neighbor leaves the house everyday at 6:00 AM, he will leave tomorrow morning at 6:00 AM"

Sagot :

Deductive reasoning, or deduction, starts out with a general statement, or hypothesis, and examines the possibilities to reach a specific and logical conclusion. It goes from general to particular.

Inductive reasoning makes broad generalizations from specific observations. It goes from particular to general.

"If a number ends with a 5, then that number is divisble by 5. 25 is divisible by 5"

DEDUCTIVE. The conclusion is particular (it only refers to 25), drawn from a general rule.

"if two lines do not have the same slope, then they are not parallel. Perpendicullar lines are not parallel"

DEDUCTIVE. Also goes from a general statement, and applies this knowledge to a particular case.

"it always rains on the 4th of july"

INDUCTIVE. It makes a generalization (it always rain certan day), based on a finite data or experience. The conclusion is broader than the evidence from which the conclusion is drawn.

"My neighbor leaves the house everyday at 6:00 AM, he will leave tomorrow morning at 6:00 AM"​

DEDUCTIVE. The conclusion is about one day (tomorrow), based on the statement that the neighbor leaves the house everyday at 6:00 AM.

If the conclusion is that he leaves everyday at 6 AM, because it has been seeing all month leaving at that hour, that would be an inductive reasoning.