1. Find the sets A and B if AB={1,5,7,8},BA={2,10}, and AB={3,6,9}. 2. If B and C are two sets, prove or disprove the identity, BC=CB. 3. Prove that if A and B are sets, then A(AB)=A. 4. Suppose that AB=, where A and B are sets. What can you conclude? 5. Let f(x)=2x where the domain is the set of real numbers. What is f(R) ? 6. Determine whether each of these functions is a bijection from R to R. a) f(x)=2x+1 b) f(x)=x3 7. Let f be the function from R to R defined by y=f(m,n)=2mn. Write a method in C with appropriate return type and parameter list that could be used to realize the function. 8. Let f(x) be the set of all even numbers smaller or equal than x. For example, f(10)={0,2,4,6,8,10}. Let g(x)=2x. Compute: i=14j(fg)(i)j