Question 261274
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It depends.

Do you mean

*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \~p\ &\ \left(q\,\small\vee\LARGE\,\~r\right)]

or

*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \~p\ \small\vee\LARGE\ \left(q\,\small\vee\LARGE\,\~r\right)]

If it is the first case, since *[tex \Large p] is true, *[tex \Large \~p] is false, so false and anything else is false, so the statement is false.

In the second case, *[tex \Large q] is true, *[tex \Large r] is false, so *[tex \Large \~r] is true and you have true or true which is true.  Then *[tex \Large \~p] is false as before, so you have false or true which is true.

John
*[tex \LARGE e^{i\pi} + 1 = 0]
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