Question

Given p is false, q is true, and r is true, find the truth value of the statement (p V ~q) ↔ ~r.

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Answer 1

since q:T then \(\neg q:F\) then since p:F we have that
\[ \large p\vee\neg q:F \]
because both p and ~q are false

Answer 2

now r:T so ~r:F therefore
\[ \large (p\vee\neg q)\leftrightarrow\neg r:T \]
bacuuse both are false