#6 is used as an example for the expected format.

Thanks!

6. Use rules of inference to show that the hypotheses "If it does not rain or if it is not foggy, then the sailing race will be held and the lifesaving demonstration will go on," "If the sailing race is held, then the trophy will be awarded" and The trophy was not awarded" imply the conclusion It rained." 3, (8 points) Rosen Ch 1.6 #6, p. 78. Let r be the proposition "It rains", let f be "It is foggy", let s be "The sailing race will be held", let l be "The life saving demonstration will go on", and let t be "The trophy will be awarded". (2 points (bonus)) Give a compound proposition with three variables p, g, and r that is true when at most one of the three variables is true, and false otherwise