Question

If you enter the teaching profession, you will have no money for vacations; and if you do not enter the teaching profession, you will have no time for vacations. Since you must either enter or not enter the teaching profession, it follows that either you will have no money or no time for vacations.

a. True
b. False

Answer 1

True

Step-by-step explanation:

This is an example of Constructive dilemma. It is a true rule of inference of propositional logic. It infers that, if P implies Q and R implies S and either P or R is true, then either Q or S has to be true. Therefore entering the teaching profession, means no money for vacations; and not entering the teaching profession, means no time for vacations. If you must either enter or not enter the teaching profession, it follows that either you will have no money or no time for vacations.