MATH SOLVE

3 months ago

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: βI will go shopping, unless it rains.β
If it does not rain, then I will go shopping.
b)
Original sentence: βThe function f is continuous, unless x<2β
If x greater or equal than 2, then f is continuous.
If P, then not Q
a)
Original sentence: βI will go shopping, unless it rains.β
If it rains, then I will not go shopping
b)
Original sentence: βThe function f is continuous, unless x<2β
If x<2, then f is not continuous.