Griffin Vargas
08/22/2024 · High School

for statments \( p, q \) and \( r \), use a truth table to show that each of the following pairs of statments is logically equivalent. d) \( p \Rightarrow\left(q^{v} r\right) \) and \( (7 r) \Rightarrow(p \Rightarrow q) \).

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The truth tables for \( p \Rightarrow (q \vee r) \) and \( (p \Rightarrow q) \Rightarrow r \) show that they have the same truth values for all combinations of \( p \), \( q \), and \( r \). Thus, the statements are logically equivalent.

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