SOLUTION: Given: Either south High won the championship or North High won the championship. If Larissa scored 50 points and Tamara was in the game , Kate was not not point guard. If Larissa

Algebra ->  Proofs -> SOLUTION: Given: Either south High won the championship or North High won the championship. If Larissa scored 50 points and Tamara was in the game , Kate was not not point guard. If Larissa       Log On


   

Question 246808: Given: Either south High won the championship or North High won the championship. If Larissa scored 50 points and Tamara was in the game , Kate was not not point guard. If Larissa did not score 50 points, North High did not win the championship. Kate was the point guard. Tamara was in the game.
Prove: South High won the championship
Answer by solver91311(24713) About Me  (Show Source):
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s: South wins
n: North wins
l: Larissa scores 50
t: Tamara in game
k: Kate is point guard

l and t => ~k (given)

Contrapositive always true, so:

k => ~(l and t) => ~l or ~t

t (given)

therefore ~l

~l => ~n (given)

s xor n

Therefore s

John