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anonymous

  • 5 years ago

I need to find the truth value of the compound statement: p ^ (q V ~ r) where p represents a true statement while q and r represent false statements true or false

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  1. anonymous
    • 5 years ago
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    p ^ (q V ~ r ) = (p ^ q) V (p ^ ~ r)

  2. anonymous
    • 5 years ago
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    so for the statement to be true, either (p^q) or (p ^ ~ r) has to be true.

  3. anonymous
    • 5 years ago
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    p^q is true iff both p and q are true, but q is not, so p ^ q is false.. p ^ ~r is true iff p is true and r is false, which is the case. so p ^ ~r is true

  4. anonymous
    • 5 years ago
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    hence, the compound statement is true.

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