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    Using Logic to Determine Truth Value of Statements

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    1. p: Tanisha owns a convertible
    q: Joan owns a Volvo

    Translate each statement into symbols. Then construct a truth table for each and indicate under what conditions the compound statement is true.

    Tanisha does not own a convertible but Joan owns a Volvo.

    2. Determine whether the argument is valid or invalid. You may compare the argument to a standard form, given or use a truth table.

    v →ω

    ω/∴ → v

    3. Write a negation of the statement.

    She earns more than me.

    4. Let p, q, and r be the following statements:

    p: Jamie is on the train.
    q: Sylvia is at the park.
    r: Nigel is in the car.

    Translate the following statement into English: (p V ~q)→ ~r
    1. p: Tanisha owns a convertible
    q: Joan owns a Volvo

    Translate each statement into symbols. Then construct a truth table for each and indicate under what conditions the compound statement is true.

    Tanisha does not own a convertible but Joan owns a Volvo.

    2. Determine whether the argument is valid or invalid. You may compare the argument to a standard form, given or use a truth table.

    v →ω

    ω/∴ → v

    3. Write a negation of the statement.

    She earns more than me.

    4. Let p, q, and r be the following statements:

    p: Jamie is on the train.
    q: Sylvia is at the park.
    r: Nigel is in the car.

    Translate the following statement into English: (p V ~q)→ ~r

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    https://brainmass.com/math/discrete-math/using-logic-determine-truth-value-statements-311465

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    1. Tanisha does not own a convertible is the negation of p. Joan owns a Volvo is the statement q.

    ~p Λ q

    p q ~p ~p Λ q
    T T F F
    T F F F
    F T T T
    F F T F

    This compound statement is true ...

    Solution Summary

    Finding the truth value of statements using logic and truth tables.

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