Q:

There does not seem to be an established symbol for the connective unless. However, Q unless P means if not P, then Q. Write the following statements in the form if P then Q. (a) I will go shopping, unless it rains. (b) The function f is continuous, unless x<2

Accepted Solution

A:
Answer:See explanation belowStep-by-step explanation:There are two ways of interpreting Q unless P. One of them is: if not P, then Q. The other one is: if P, then not Q. Let's write the sentences both ways If not P, then Q a) Original sentence: β€œI will go shopping, unless it rains.” If it does not rain, then I will go shopping. b) Original sentence: β€œThe function f is continuous, unless x<2” If x greater or equal than 2, then f is continuous. If P, then not Q a) Original sentence: β€œI will go shopping, unless it rains.” If it rains, then I will not go shopping b) Original sentence: β€œThe function f is continuous, unless x<2” If x<2, then f is not continuous.