## Written Exercise 11. **Given that U is a universal set that contains all whole numbers less than 10 and A and B are subsets of U. Suppose:** - A = {all factors of 18} - B = {natural numbers greater than 2 but less than 8} - C = {multiples of 2 less than 9} a) **List the elements of U, A, B, and C.** b) **Represent U, A, B, and C on a Venn diagram.** c) **Find B ∪ C and A ∩ (B ∪ C)** d) **Find (A ∩ B) ∪ (A ∩ C)** e) **What can you say about A ∩ (B ∪ C) and (A ∩ B) ∪ (A ∩ C)?** f) **Find A ∪ B and A ∪ C** g) **Find (A ∪ B) ∩ (A ∪ C)** h) **What can you say about A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)?**2. **Solve and graph each of the following inequalities.** a) 2x - 5 < 11 and 3x + 2 ≤ 20 b) x² - x - 6 > 0 c) 3m - 2(2m - 7) ≤ 2(3m + 4) d) 3y - [7 + (2 - y)] ≥ y + 83. **Solve each absolute value inequality and graph the solution set where possible.** a) 5x - 6 - 7 ≥ 2 b) 6 - 2x - 6 > 44. **Solve and graph \(\frac{3}{x + 1} - \frac{2}{x + 3} ≥ 1\)**5. **Solve and graph 3x + 5 = 4**6. **In the problems below, what value of x does each hold?** a) x ⋅ 2 = 2x ⋅ 7 b) 3x + 5

“Since you have asked multiple question, we will solve the first question for you. If youwant any…

1. Given that U is a universal set that contains all whole numbers less than 10 and A and B are subset of U. Suppose A = {all factors of 18}, B={natural numbers greater than 2 but less than 8} and C = { multiples of 2 less than 9}. a) List the elements of U, A, B and c. b) Represent U, A, B, and C on a Venn diagram. c) Find BuC and An (BUC)

1. Given that U is a universal set that contains all whole numbers less than 10 and A and B are subset of U. Suppose A = {all factors of 18}, B={natural numbers greater than 2 but less than 8} and C = { multiples of 2 less than 9}. a) List the elements of U, A, B and c. b) Represent U, A, B, and C on a Venn diagram. c) Find BuC and An (BUC)

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.1: Basic Assumptions

Problem 40WE

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