(Solved): how do i make the truth tables for the rhymes 5. Riddles. Recall Logic Island: a place where each in ...

5. Riddles. Recall Logic Island: a place where each inhabitant either always lies or always tells the truth. Solve each riddle. (Hint: trse truth tables.) (a) You come across two inhabitants of Logic Island, let's call them $$A$$ and $$B$$. $$A$$ says, "We are both telling the truth," and $$B$$ says "A is lying." Determine who is lying and who is telling the truth, if possible. (b) You come across three inhabitants of Logic Island, let's call them $$A,B$$, and $$C$$. $$A$$ says " $$B$$ or $$C$$ is lying," $$B$$ says " $$C$$ is lying," and $$C$$ says " $$A$$ and I are both telling the truth." Determine who is lying and who is telling the truth, if possible.