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

See explanation below

Step-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: “I will go shopping, unless it rains.”

If it does not rain, then I will go shopping.

b)

Original sentence: “The 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: “I will go shopping, unless it rains.”

If it rains, then I will not go shopping

b)

Original sentence: “The function f is continuous, unless x<2”

If x<2, then f is not continuous.

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step-by-step explanation: