Deductive Reasoning

Deductive Reasoning

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What is Deductive Reasoning???

• It is a process of reasoning using given and previously known facts to reach a logical conclusion.

Open Ended

Given that a conditional and its hypothesis are true, can you determine whether the conclusion is true?

Multiple Choice

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.

Conditional: If n is an even number, then it is divisible by 2.

Premise: 4834 is an even number.

• 4834 is an integer.

• 4834 is divisible by 2.

• 4834 is not divisible by 2.

• not possible

Multiple Choice

If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.

Conditional: If points lie on a line, then they are collinear.

Premise: Points X, Y, and Z are in line m.

• They are not collinear.

• They are collinear.

• They are points.

• No conclusion can be made.

Multiple Choice

If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.

Conditional: If there is lightening, then it is not safe to out in the open.

Premise: Mary sees lightening from her home

• It is not safe for the lightening.

• It is not safe for Marty to be out in the open.

• There is lightening.

• No conclusion can be made.

Multiple Choice

If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.

Conditional: If x = 2, then 2x – 10 = –6.

Premise: x = 2

• 2x – 10 = –6

• If 2x – 10 = –6, then x = 2

• x = 2

• not possible