LAW OF DETACHMENT

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

Conditional: If I study for one hour each day, then I will score well on the exam.

Premise: I will score well on the exam.

• I study for 1 hour each day.

• I do not study for 1 hour each day.

• If I do well on the exam, I studied for 1 hour each day.

• not possible

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

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

Conditional: If two lines do not intersect, then they are coplanar and parallel, or skew.

Premise: Lines AB and CD do not intersect.

• Lines AB and CD are parallel and not coplanar.

• Lines AB and CD are skew.

• Lines AB and CD are parallel and coplanar or they are skew.

• No Conclusion can be made.

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.

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.

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

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

Conditional: If x and y are odd numbers, then x+y is an even number.

Premise: 5 and 7 are odd numbers.

• 12 is an odd number.

• 12 is a prime number.

• 12 is an even number.

• not possible

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

Conditional: If a whole number is even. then its square is divisible by 4.

Premise: The number I am thinking of is an even number.

• Then it's not odd.

• Then it's a whole number.

• Then it's even.

• Then its square is divisible by 4

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

Conditional: If a parasite loves in or on a host organism, then it harms its host

Premise: A virus is a parasite.

• It will harm the host.

• I have a cold.

• It lives in or on a host

• Invalid

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

Conditional: If Jack goes to school, then it is Monday.

Premise: Jack doesn't go to school.

• Jack skipped school.

• It isn't Monday.

• It's Saturday.

• Invalid