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.

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) (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 is a true statement and is true, then is true.
you are given:
If two lines are parallel, then they do not intersect. (General conditional)
Line is parallel to line . (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 is parallel to line "; so, the Law of Detachment doesn't apply here (right conclusion would be "they do not intersect").

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