8. Let A (0, 2,4, 6, 8, 10), B (0, 1 , 2, 3, 4, 5, 6), and C = (4, 5, 6, 7, 8, 9, 10). Find a) (AU B)- C. b) An (B-C). Draw the Venn Diagrams for 8a and 8b. Label your sets clearly. (AU B)-C. An (B-C). 9. Determine whether each of these sets is finite, countably infinite, or uncountable. a.) Negative integers finite, countably infinite, uncountable b) The integers that are greater than 40 finite, countably infinite, uncountable c) Positive integers less than 40 finite, countably infinite, uncountable d) The real numbers between 4 and 40 finite, countably infinite, uncountable 10. Determine whether the function from (a, b, c, d ) to itself (to the same set) is injective (o surjective (onto) and/or bijective (one-to- one correspondence): f(a) b, f(b) C, f(c) = d, f(d)= a a. Is this function injective? Yes b. Is this function Surjective? No Yes No c. Is this function Bijective? Yes No d. Is there an inverse function? Yes No e. What is f°f (b)? 11. Determine whether the function from { a, b, c, d ) to itself is injective (one-to-one), surjec and/or bijective (one-to- one correspondence): f(a) = a, f(b) a, f(c) b, f(d) =d a. Is this function injective? Yes No b. Is this function surjective? c. Is this function bijective? Yes Yes No No d. Is there an inverse function? Yes No e. What is f f (a)?