Solution Manual for College Algebra 9th Edition by Larson NOT FOR SALE C H A P T E R Prerequisites P Section P.1 Review of Real Numbers and Their Properties 11 (a) irrational origin (b) absolute value (c) composite terms (d) Zero-Factor Property 9, 72 , 5, 23 , 2, 0, 1, 4, 2, 11 12 (a) (a) Natural numbers: 5, 1, (b) (b) Whole numbers: 0, 5, 1, (c) Integers: 9, 5, 0, 1, 4, 2, 11 (d) Rational numbers: 9, 72 , 5, 23 , 0, 1, 4, 2, 11 (e) Irrational numbers: 5, 7, 73 , 0, 3.12, , (c) (d) 3, 12, 13 4 ! 8 (a) Natural numbers: 12, (b) Whole numbers: 0, 12, (c) Integers: 7, 0, 3, 12, (d) Rational numbers: 7, 73 , 0, 3.12, 54 , 3, 12, (e) Irrational numbers: 14 16 2.01, 0.666 , 13, 0.010110111 , 1, 15 ! (a) Natural numbers: (b) Whole numbers: (c) Integers: 13, 1, (d) Rational numbers: 2.01, 0.666 , 13, 1, 16 87 73 (e) Irrational numbers: 0.010110111 10 25, 17, 12 , 9, 3.12, 12 S , 7, 11.1, 13 (a) Natural numbers: 25, 17 (a) The inequality x d denotes the set of all real numbers less than or equal to 9, 7, 13 (b) (b) Whole numbers: 25, (c) Integers: 25, 17, 9, 7, 13 (c) The interval is unbounded 9, 7, 13 (d) Rational numbers: 25, 17, 12 , 9, 3.12, 7, 11.1, 13 (e) Irrational numbers: 12 S INSTRUCTOR USE ONLY © 2014 Cengage Learning All Rights Reserved May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part © Cengage Learning All Rights Reserved Solution Manual for College Algebra 9th Edition by Larson NOT FOR SALE Section ection P.1 18 (a) The inequality x denotes the set of all real numbers less than zero Review of Real Numbers and Their Thei Properties The 30 2.5% d r d 5%; >2.5%, 5%@ 10 10 33 5 5 (b) 34 (c) The interval is unbounded 35 1 2 1 36 3 3 3 (b) 31 10 (c) The interval is unbounded 32 19 (a) The interval >4, f denotes the set of all real numbers greater than or equal to 20 (a) f, denotes the set of all real numbers less 1 6 than (b) 37 (c) The interval is unbounded 21 (a) The inequality 2 x denotes the set of all real numbers greater than 2 and less than 5 5 (c) The interval is bounded x x x x So, x 1 x 1 41 4 numbers greater than or equal to and less than (b) 42 5 since 5 numbers greater than 1 and less than or equal to (b) 6 45 d 126, 75 5 and 2 75 126 46 d 126, 75 5 1 x 61 x 1 1 10 66 x Terms: x3 , , Coefficients: 4, x 1 x 1 (a) 11 11 Division by zero is undefined (b) 62 3 x 1 1 2 Terms: 3 x , 67 Coefficients: 3 63 x h h 1, h z 6 Multiplicative Inverse Property (a) 1 (b) 4 0 4 06 10 68 x x 6 Additive Inverse Property 69 x 2 x 23 Distributive Property 70 z z Additive Identity Property 71 x 3 y 72 7 12 x y x y Associative Property of Multiplication Commutative Property of Multiplication 17 12 Associative Property of Multiplication 12 Multiplicative Inverse Property 12 Multiplicative Identity Property INSTRUCTOR USE ONLY © 2014 Cengage Learning All Rights Reserved May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part © Cengage Learning All Rights Reserved