Question

Which statement is true about this argument?

Premises:
If two lines are parallel, then the lines do not intersect.
Lines m and n do not intersect.

Conclusion:
Lines m and n are parallel.

Which statement is true about the argument?

The argument is not valid because the premises are not true.

The argument is not valid because the conclusion does not follow from the premises.

The argument is valid by the law of detachment.

The argument is valid by the law of syllogism.

Answer 1

B) The argument is not valid because the conclusion does not follow from the premises.

Although parallel lines cannot intersect, that does not mean that two lines are parallel just because they do not intersect. Two lines can be not parallel and still not intersect.