Solve each number. Show solution. Show explanations if possible.

Example 1.2. Which of the following sets are equal to the set of all integers that are multiples of 5. There may be more than one or none. (1) WI I II E R} (2){5I1|11 E Z} (3) {n e Z|n : 5k. and k e Z} (4) {n e Z|n : 5k. and n. e Z} (5) {-57 0, 5, 10} Example 1.8. Pay close attention to whether the symbols means \"element.\" 01' \"sub- set.\" in this example If S = {2, 3, {2}, {4}}, then (m) 3 g s (m) {3} c S (m) {{3}} 91 s (m) 4 g 3 (II?) {4} E S (x) (4} ES (xi) {4} & S (xii) {{4}} CS Exercise 1. Let A = {1, 2, {1}, {1, 2}}. True or false? (a) {1} EA (b) {1 } CA (c) {1}}EA (d) {{1}} CA (e) 2 EA ( f) 2 CA (9) {2 ) E A (h) (2} C AExample 1.16. Suppose A = {1, 3, 5, 7, 9, 11}, B = {3, 4, 5, 6, 7} and C' = {2, 4, 6, 8, 10}. Then (a) AUB = {1, 3, 4, 5, 6, 7, 9, 11} (b) AnB = {3, 5, 7} (c) AUC = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} (d) And = 0 (e) A - B = {1,9, 11} (f) |AUB = 8 5 (g) And =0Example 2.1. For problems 1 - 10 refer to these sets: U = {11, he, ate, f};A : {ac,e1f};B : {c,d,e};C' = {of} Find each of the following: Example 3.3. Circle all of the words that can be used to describe the number 25. Even, Odd, Positive, Negative, Prime, Composite, Natural, Whole, Rational, Irra- tional, Real Example 3.4. Classif}r each of the following numbers: 24 -12 2.5 WIS! Example 3.5. {10.2,8,-5, 0 ; 1.23, x/E, 23, 251, 35 } 11 Give the list of all Rational numbers: Irrational Numbers: Even Integers: Odd Natural Numbers: Whole Numbers: Negative Real Numbers: Prime Numbers: Composite Numbers: Real Numbers: Undened Numbers: