Question

If possible, use the law of detachment to make a conclusion. If it is not possible to make a conclusion, tell why.

If you give me cake, then I will love you forever.

I will love you forever.


It is not possible to make a conclusion using the law of detachment because the second statement does not match the hypothesis of the given conditional.





The conclusion is "I will love you forever."





The conclusion is "You gave me a cake."





It is not possible to make a conclusion using the law of detachment because the second statement does not match the conclusi

Answer 1

Hint:
http://hotmath.com/hotmath_help/topics/law-of-detachment.html

Example:
"If it's sunny, I go for a walk."
That means that if it is sunny, I \(always\) go for a walk.
I could also go for a walk when it is cloudy, or even raining.
That means if I go for a walk, it doesn't tell me anything about the weather.

However,
if it is sunny, then I can say I go for a walk (by the law of detachment).

Answer 2

@mathmate I am confused on if it should be "I will love you forever," or "you gave me cake..."

Answer 3

The statement of condition is call the hypothesis.
The statement of the result is called the conclusion.
A typical conditional statement is
If "hypothesis" then "conclusion".
In my example,
"it's sunny" is the hypothesis, and "I go for a walk" is the conclusion.
Given a hypothesis is true, conclusion is true.
...but NOT the other way round.