Please Answer 7-10

7. Use the Law ol'Equal Sets to verify the following statement. [P' n (P' u 5)] (P' 0 Q) 2 (P U Q)'. 8. Use a membership table to decide which region or regions in the Venn diagram below belong to (P' U S)' n (W S). 9. Consider the following Universal Set: U: {1, 2, 3, 4, 5, 6, 7, 8} Dene the following subsets of U: A = {1, 2, 3, 4} B = {2, 3, 7} C = {3, 4, 5, 6} Draw a Venn Diagram that represents the relationships that exist among these sets. 10.0f the 1000 students enrolled in a school, 450 are enrolled in mathematics, 300 are enrolled in history, and 75 are enrolled in both history and mathematics. How many are enrolled in neither history nor mathematics? Show all work in determining your