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Points: 0 of 1
Use a truth table to determine whether the two statements are equivalent.

(r^^q)vv p" and "(q vv p)^^r
Construct the truth table.





p

q

r

(r^^q)vv p

(q vv p)^^r



T

T

T

T

T

Points: 00 of 11\newlineUse a truth table to determine whether the two statements are equivalent.\newline(rq)p and (qp)r (r \wedge q) \vee p \text { and }(q \vee p) \wedge r \newlineConstruct the truth table.\newline\begin{tabular}{|c|c|c|c|c|}\newline\hlinep p & q q & r r & (rq)p (r \wedge q) \vee p & (qp)r (q \vee p) \wedge r \\\newline\hlineT T & T T & T T & T T & T T \\\newline\hline\newline\end{tabular}

Full solution

Q. Points: 00 of 11\newlineUse a truth table to determine whether the two statements are equivalent.\newline(rq)p and (qp)r (r \wedge q) \vee p \text { and }(q \vee p) \wedge r \newlineConstruct the truth table.\newline\begin{tabular}{|c|c|c|c|c|}\newline\hlinep p & q q & r r & (rq)p (r \wedge q) \vee p & (qp)r (q \vee p) \wedge r \\\newline\hlineT T & T T & T T & T T & T T \\\newline\hline\newline\end{tabular}
  1. List Truth Values: First, let's list all the possible truth values for pp, qq, and rr.
  2. Calculate (rq)p(r \land q) \lor p: Now, calculate the truth values for (rq)p(r \land q) \lor p for each combination of pp, qq, and rr.
  3. Calculate (qp)r (q \lor p) \land r : Next, calculate the truth values for \"(q \lor p) \land r\" for each combination of pp, qq, and rr.
  4. Compare Truth Values: Compare the truth values of \
  5. Check Equivalence: If all corresponding truth values match, the statements are equivalent; if not, they are not equivalent.

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