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18 September, 14:53

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

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  1. 18 September, 17:56
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    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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