Question

state the truth - value for the conditional statement (1). then write the inverse of the conditional statement (2) and state its truth - value (3). conditional statement: \if two lines are skew, then they do not intersect.\ format your answers using numbers as follows: 1. ______ 2. ____ 3. ______

Explanation:

1. Skew lines are non - parallel and non - intersecting in 3 - D space, so the conditional statement "If two lines are skew, then they do not intersect" is true.
2. The inverse of a conditional statement "If p then q" is "If not p then not q". So the inverse of "If two lines are skew, then they do not intersect" is "If two lines are not skew, then they intersect". But non - skew lines can be parallel (and parallel lines do not intersect), so the inverse is false.

Answer:

1. 1
2. If two lines are not skew, then they intersect.
3. 0