Question

离散数学 (p∧q)→ r

Let p be the proposition “You have the flu", q be the proposition ”You miss the final
examination" and r be the proposition“You pass the course". Express the following as an English
sentence: (p→~r)∨(q→~r)

答案就是 if p，then ~r or if q ，then~r。

但是上面那个式子 等于 (p∧q)→ ~r 对不对

那如果 写 if p and q，then ~r 对不对

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Answer 1

(p→~r)∨(q→~r)
<==> (~p∨~r)∨(~q∨~r)
<==> (~p∨~q)∨~r
<==> ~(p∧q)∨~r
<==> (p∧q)→~r
翻译成英语句子就是：
If you have the flu and miss the final examination, then you will not pass the course.