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28 June, 17:25

Suppose that the statement form (p ∨ q) → (r → p) is false. What can you conclude about the truth values of the variables p, q and r? Explain your reasoning

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  1. 28 June, 17:26
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    p is false, q is true and r is true

    Step-by-step explanation:

    For (p ∨ q) → (r → p) to be false, the proposition (p ∨ q) must be true and (r → p) false. If (r → p) then r must be true and p is false, we now have truth values for these two Now if (p v q) is true, either p, q or both must be true. Since p is false, it follows that q must be true.
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