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Identify the English translation of the compound proposition (p → ¬r) ∨ (q → ¬r).

User Mike Hall
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1 Answer

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Complete Question

Let p, q and r be the propositions

p : You have a flu

q: You miss the final examination

r: You pass the course

Identify the English translation of the compound proposition (p → ¬r) ∨ (q → ¬r).

Answer:

The solution is

if you have a flu, then you do not pass the course or

if you miss the final examination, you do not pass the course

Explanation:

Generally

This symbol p → mean (if p then )

and This symbol ¬r means (not r )

and the symbol v means ( or )

So (p → ¬r) ∨ (q → ¬r). can be translated as

if you have a flu, then you do not pass the course or

if you miss the final examination, you do not pass the course

User Cmilam
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