SOLUTION: Use the Law of Detachment to make a conclusion for the following question. If two lines are parallel, then they do not intersect. Line l is parallel to line m.

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Question 646706: Use the Law of Detachment to make a conclusion for the following question.

If two lines are parallel, then they do not intersect. Line l is parallel to line m.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The Law of Detachment states:
If a conditional is true and its hypothesis is true, then its conclusion is true.
In symbolic form: if p+-%3E+q is a true statement and p is true, then q is true.
you are given:
If two lines are parallel, then they do not intersect. (General conditional)
Line l is parallel to line m. (Specific situation)
What do you think? Does the Law of Detachment apply here? We have a general
conditional which is true, but its conclusion is "Line l is parallel to line m"; so, the Law of Detachment doesn't apply here (right conclusion would be "they do not intersect").