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18 September, 07:56

Let p represent the statement"the car is blue " and q represent the statement "the car is spacious ". What is true of the conjunction p ^ q?

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  1. 18 September, 08:01
    0
    T F F F

    Step-by-step explanation:

    Let p : "the car is blue."

    q : "the car is spacious."

    Conjuction p^q:

    In conjuction If p and q is true then the value of p^q is true.

    But if any statement p or q is false then the value of p^q is false.

    When p is true and q is true then the value of p^q is true.

    When p is true and q is false then the value of p^q is false.

    When p is false and q is true then the value of p^q is false.

    When p is false and q is false then the value of p^q is false.

    When the car is blue and spacious then the value of p^q is true only.

    When the car is not blue but the car is spacious then the value of p^q is false.

    When the car is blue but not spacious then the value of p^q is false.

    When the car is not blue nor spacious then the value of p^q is false.
  2. 18 September, 08:02
    0
    P = the car is blue

    q = the car is spacious

    p^q is true if and only if the car is both blue AND spacious

    if the car is not blue, or the car is not spacious, or both then p^q is false
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