Question

Find the final truth value of the following conjunctions and disjunctions.

p: Parallel lines never intersect.

q: Supplementary angles add up to 180 degrees.

1. p and ~q

Answer 1

p stands for "parallel lines never intersect" which is a true statement.

q stands for "supplementary angles add up to 180°" which is also a true statement, so its inverse (~q) is false, that is, the statement that supplementary angles do not add up to 180° is false.

Therefore p AND ~q is TRUE AND FALSE=FALSE which means:

The combined statement that parallel lines never intersect and supplementary angles do not add up to 180° is false.