So I am trying to solve this problem and not quite able to figure out the answer. So I'm not sure what two statements I could construct in my truth table to prove these true or false. I believe that $Q$ is not equal to $R$ because OR statements are inclusive. And I believe if we used the AND operators they would be equal. The statement I was thinking about constructing to prove this was if $R \land (P \lor Q) / Q \land (P \lor R)$? Any help would be appreciated
"The earth is round" AND "I am white" = FALSE = "The earth is round" AND "I am black"
"The moon is made of cheese" OR "I am white" = TRUE = "The moon is made of cheese" OR "I am black"
In both cases, Q and R are not the same (they are "I am white" and "I am black", respectively).