Assignment:
Q1. Write the following in roster form:
Set N is the set of natural numbers between ten and sixteen
Q2. Express the following in set builder notation:
Z = {2, 3, 4, 5, 6, 7, 8, 9, 10}
Q3. For sets A and B, determine whether A = B, A is a subset of B, or B is a subset of A
A = { x| x ∈ N and 13 < x < 18}
B = { 12, 13, 14, 15, 16, 17, 18}
Q4. Given the diagram below, find a) A U B and b) A ∩ B
Q5. Given U = {18. 19. 20, 21, 22, 23, 24, 25, 26, 27, 28, 29}, A = {21, 23, 25, 27, 29}, and
B = {26, 27, 28, 29}. Find A' U B'.
Q6. Given U = {l, m, n, o, p, q, r, s, t, u, v, w}, A = {l, m, n, o, p, q}, B = {n, o, r, s, v, w}, and C = {l, m, p, q, r, t}, find (A' U C') ∩ B'.
Q7. Set K contains 30 elements, set J contains 46 elements, and 11 elements are common to both sets. Find n ( K U J).
Provide complete and step by step solution for the question and show calculations and use formulas.