11. Write the contrapositive, converse and the inverse of the following If you try hard, then you will win. 12. On the island of knights and knaves you encounter two people A and B. Knights always tell the truth and their opposites, knaves always lie. Person A says "B is a knave" and Person B says "We are both knights". Determine whether each person is a knight or a knave. 13. Determine whether the following compound proposition is satisfiable: 14. Suppose the variable x represents students and y represents courses and: F(x): x is a freshman A(x): x is a part-time student Write the statement in good English without using variables in your answers. T(x,y): x is taking y a. F(Mikko)