In Problems 57–104, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 57. x + 1 < 5 58. х — 6 <1 59. 1 — 2х 3 60. 2 — Зх — 5 61. 3x – 7> 2 62. 2x + 5 > 1 63. Зх — 1 2 3 +х 64. 2x – 2 = 3 + x 65. —2(х + 3) <8 66. —3(1 — х) < 12 67. 4 – 3(1 – x) < 3 68. 8 — 4(2 — х) < - 2х 5(x - 4) > x + 8 •글 (x - 2) 71.=1- 69. (х 70. 3x + 4 > 2 2 + 6 72. 73. 0 - 2х - 6< 4 74. 4 < 2x + 2< 10 76. -3 < 3 – 2x < 9 77. -3 < 2х — 1 < 0 4 75. -5 < 4 – 3x < 2 Зх + 2 < 4 2 1 x < 4 2 80. 0 <1 *< 1 78. 0 < 79. 1<1 -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 12T
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In Problems 57–104, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set.
57. x + 1 < 5
58. х — 6 <1
59. 1 — 2х 3
60. 2 — Зх — 5
61. 3x – 7> 2
62. 2x + 5 > 1
63. Зх — 1 2 3 +х
64. 2x – 2 = 3 + x
65. —2(х + 3) <8
66. —3(1 — х) < 12
67. 4 – 3(1 – x) < 3
68. 8 — 4(2 — х) < - 2х
5(x - 4) > x + 8
•글 (x - 2)
71.=1-
69.
(х
70. 3x + 4 >
2 2 +
6
72.
73. 0 - 2х - 6< 4
74. 4 < 2x + 2< 10
76. -3 < 3 – 2x < 9
77. -3 <
2х — 1
< 0
4
75. -5 < 4 – 3x < 2
Зх + 2
< 4
2
1
x < 4
2
80. 0 <1
*< 1
78. 0 <
79. 1<1 -
Transcribed Image Text:In Problems 57–104, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 57. x + 1 < 5 58. х — 6 <1 59. 1 — 2х 3 60. 2 — Зх — 5 61. 3x – 7> 2 62. 2x + 5 > 1 63. Зх — 1 2 3 +х 64. 2x – 2 = 3 + x 65. —2(х + 3) <8 66. —3(1 — х) < 12 67. 4 – 3(1 – x) < 3 68. 8 — 4(2 — х) < - 2х 5(x - 4) > x + 8 •글 (x - 2) 71.=1- 69. (х 70. 3x + 4 > 2 2 + 6 72. 73. 0 - 2х - 6< 4 74. 4 < 2x + 2< 10 76. -3 < 3 – 2x < 9 77. -3 < 2х — 1 < 0 4 75. -5 < 4 – 3x < 2 Зх + 2 < 4 2 1 x < 4 2 80. 0 <1 *< 1 78. 0 < 79. 1<1 -
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