12. Construct a Venn diagram illustrating the given sets. A = {*17. X47} B = {*7. X12 X17. X27. X32} C = {X17. X22. X27. X32. X47} U = {X7. X12. X17. X22. X27. X32 X37, X42· X47} Find the Venn diagram that illustrates the given sets. Choose the correct answer below. O A. O B. Oc. U U II II A X37 III B III B III B X12 A 17 VI VIII X27 VII X22 VII X37 VII X37 VII VII X22 X32 X22 27 X42

Construct a Venn Diagram illustrating the given sets. A = {4,5,6,8}. B= {!,2,4,5, 6,7}, C={3,4,73 U={!, 2,3,4,5,6,7,8,93

Q2. If A is an uncountable set and B is a countable set, then we can say about the set A/B. 1. countable. 2. Finite, countable, or uncountable. 3. Empty. 4. Countable. 5. Finite. 6. Countable or uncountable. 7. Uncountable. Q3. Prove that N x N is countable.

Let A, B, C subset U. Suppose that n(U)= 41, n(A)= 30 and n(B)= 35. For each of the following sets, give the smallest possible number of elements the set can contain and the largest number of elements the set can contain. If you know the exact number of elements the set has, then write the same number in both spaces. 1. A U B What is the smallest and largest possible values. 2. A intersect B What is the smallest and largest possible values. 3. A’ What is the smallest and largest possible values. 4. A’ intersect B What is the smallest and largest possible values. 5. A’ U B What is the smallest and largest possible values.