High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Videos
Question
Chapter 3.7, Problem 80PPE
To determine
Whether the statement is always, sometimes, or never true for real numbers
Expert Solution & Answer
Answer to Problem 80PPE
The statement is always true for real numbers
Explanation of Solution
Given information:
There are three cases.
Case 1
When
Let
Case 2
When either
Let
Case 3
When both
Let
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
Ch. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.1 - Prob. 1LCCh. 3.1 - Prob. 2LCCh. 3.1 - Prob. 3LCCh. 3.1 - Prob. 4LCCh. 3.1 - Prob. 5LC
Ch. 3.1 - Prob. 6LCCh. 3.1 - Prob. 7LCCh. 3.1 - Prob. 8PPECh. 3.1 - Prob. 9PPECh. 3.1 - Prob. 10PPECh. 3.1 - Prob. 11PPECh. 3.1 - Prob. 12PPECh. 3.1 - Prob. 13PPECh. 3.1 - Prob. 14PPECh. 3.1 - Prob. 15PPECh. 3.1 - Prob. 16PPECh. 3.1 - Prob. 17PPECh. 3.1 - Prob. 18PPECh. 3.1 - Prob. 19PPECh. 3.1 - Prob. 20PPECh. 3.1 - Prob. 21PPECh. 3.1 - Prob. 22PPECh. 3.1 - Prob. 23PPECh. 3.1 - Prob. 24PPECh. 3.1 - Prob. 25PPECh. 3.1 - Prob. 26PPECh. 3.1 - Prob. 27PPECh. 3.1 - Prob. 28PPECh. 3.1 - Prob. 29PPECh. 3.1 - Prob. 30PPECh. 3.1 - Prob. 31PPECh. 3.1 - Prob. 32PPECh. 3.1 - Prob. 33PPECh. 3.1 - Prob. 34PPECh. 3.1 - Prob. 35PPECh. 3.1 - Prob. 36PPECh. 3.1 - Prob. 37PPECh. 3.1 - Prob. 38PPECh. 3.1 - Prob. 39PPECh. 3.1 - Prob. 40PPECh. 3.1 - Prob. 41PPECh. 3.1 - Prob. 42PPECh. 3.1 - Prob. 43PPECh. 3.1 - Prob. 44PPECh. 3.1 - Prob. 45PPECh. 3.1 - Prob. 46PPECh. 3.1 - Prob. 47PPECh. 3.1 - Prob. 48PPECh. 3.1 - Prob. 49PPECh. 3.1 - Prob. 50PPECh. 3.1 - Prob. 51PPECh. 3.1 - Prob. 52PPECh. 3.1 - Prob. 53PPECh. 3.1 - Prob. 54PPECh. 3.1 - Prob. 55PPECh. 3.1 - Prob. 56PPECh. 3.1 - Prob. 57PPECh. 3.1 - Prob. 58PPECh. 3.1 - Prob. 59PPECh. 3.1 - Prob. 60PPECh. 3.1 - Prob. 61PPECh. 3.1 - Prob. 62PPECh. 3.1 - Prob. 63PPECh. 3.1 - Prob. 64PPECh. 3.1 - Prob. 65STPCh. 3.1 - Prob. 66STPCh. 3.1 - Prob. 67STPCh. 3.1 - Prob. 68STPCh. 3.1 - Prob. 69MRCh. 3.1 - Prob. 70MRCh. 3.1 - Prob. 71MRCh. 3.1 - Prob. 72MRCh. 3.1 - Prob. 73MRCh. 3.1 - Prob. 74MRCh. 3.1 - Prob. 75MRCh. 3.1 - Prob. 76MRCh. 3.1 - Prob. 77MRCh. 3.1 - Prob. 78MRCh. 3.1 - Prob. 79MRCh. 3.2 - Prob. 1PCh. 3.2 - Prob. 2PCh. 3.2 - Prob. 3PCh. 3.2 - Prob. 4PCh. 3.2 - Prob. 1LCCh. 3.2 - Prob. 2LCCh. 3.2 - Prob. 3LCCh. 3.2 - Prob. 4LCCh. 3.2 - Prob. 5LCCh. 3.2 - Prob. 6LCCh. 3.2 - Prob. 7LCCh. 3.2 - Prob. 8LCCh. 3.2 - Prob. 9PPECh. 3.2 - Prob. 10PPECh. 3.2 - Prob. 11PPECh. 3.2 - Prob. 12PPECh. 3.2 - Prob. 13PPECh. 3.2 - Prob. 14PPECh. 3.2 - Prob. 15PPECh. 3.2 - Prob. 16PPECh. 3.2 - Prob. 17PPECh. 3.2 - Prob. 18PPECh. 3.2 - Prob. 19PPECh. 3.2 - Prob. 20PPECh. 3.2 - Prob. 21PPECh. 3.2 - Prob. 22PPECh. 3.2 - Prob. 23PPECh. 3.2 - Prob. 24PPECh. 3.2 - Prob. 25PPECh. 3.2 - Prob. 26PPECh. 3.2 - Prob. 27PPECh. 3.2 - Prob. 28PPECh. 3.2 - Prob. 29PPECh. 3.2 - Prob. 30PPECh. 3.2 - Prob. 31PPECh. 3.2 - Prob. 32PPECh. 3.2 - Prob. 33PPECh. 3.2 - Prob. 34PPECh. 3.2 - Prob. 35PPECh. 3.2 - Prob. 36PPECh. 3.2 - Prob. 37PPECh. 3.2 - Prob. 38PPECh. 3.2 - Prob. 39PPECh. 3.2 - Prob. 40PPECh. 3.2 - Prob. 41PPECh. 3.2 - Prob. 42PPECh. 3.2 - Prob. 43PPECh. 3.2 - Prob. 44PPECh. 3.2 - Prob. 45PPECh. 3.2 - Prob. 46PPECh. 3.2 - Prob. 47PPECh. 3.2 - Prob. 48PPECh. 3.2 - Prob. 49PPECh. 3.2 - Prob. 50PPECh. 3.2 - Prob. 51PPECh. 3.2 - Prob. 52PPECh. 3.2 - Prob. 53PPECh. 3.2 - Prob. 54PPECh. 3.2 - Prob. 55PPECh. 3.2 - Prob. 56PPECh. 3.2 - Prob. 57PPECh. 3.2 - Prob. 58PPECh. 3.2 - Prob. 59PPECh. 3.2 - Prob. 60PPECh. 3.2 - Prob. 61PPECh. 3.2 - Prob. 62PPECh. 3.2 - Prob. 63PPECh. 3.2 - Prob. 64PPECh. 3.2 - Prob. 65PPECh. 3.2 - Prob. 66PPECh. 3.2 - Prob. 67PPECh. 3.2 - Prob. 68PPECh. 3.2 - Prob. 69PPECh. 3.2 - Prob. 70PPECh. 3.2 - Prob. 71PPECh. 3.2 - Prob. 72PPECh. 3.2 - Prob. 73PPECh. 3.2 - Prob. 74PPECh. 3.2 - Prob. 75PPECh. 3.2 - Prob. 76PPECh. 3.2 - Prob. 77PPECh. 3.2 - Prob. 78PPECh. 3.2 - Prob. 79PPECh. 3.2 - Prob. 80PPECh. 3.2 - Prob. 1MPCh. 3.3 - Prob. 1PCh. 3.3 - Prob. 2PCh. 3.3 - Prob. 3PCh. 3.3 - Prob. 4PCh. 3.3 - Prob. 1LCCh. 3.3 - Prob. 2LCCh. 3.3 - Prob. 3LCCh. 3.3 - Prob. 4LCCh. 3.3 - Prob. 5LCCh. 3.3 - Prob. 6LCCh. 3.3 - Prob. 7PPECh. 3.3 - Prob. 8PPECh. 3.3 - Prob. 9PPECh. 3.3 - Prob. 10PPECh. 3.3 - Prob. 11PPECh. 3.3 - Prob. 12PPECh. 3.3 - Prob. 13PPECh. 3.3 - Prob. 14PPECh. 3.3 - Prob. 15PPECh. 3.3 - Prob. 16PPECh. 3.3 - Prob. 17PPECh. 3.3 - Prob. 18PPECh. 3.3 - Prob. 19PPECh. 3.3 - Prob. 20PPECh. 3.3 - Prob. 21PPECh. 3.3 - Prob. 22PPECh. 3.3 - Prob. 23PPECh. 3.3 - Prob. 24PPECh. 3.3 - Prob. 25PPECh. 3.3 - Prob. 26PPECh. 3.3 - Prob. 27PPECh. 3.3 - Prob. 28PPECh. 3.3 - Prob. 29PPECh. 3.3 - Prob. 30PPECh. 3.3 - Prob. 31PPECh. 3.3 - Prob. 32PPECh. 3.3 - Prob. 33PPECh. 3.3 - Prob. 34PPECh. 3.3 - Prob. 35PPECh. 3.3 - Prob. 36PPECh. 3.3 - Prob. 37PPECh. 3.3 - Prob. 38PPECh. 3.3 - Prob. 39PPECh. 3.3 - Prob. 40PPECh. 3.3 - Prob. 41PPECh. 3.3 - Prob. 42PPECh. 3.3 - Prob. 43PPECh. 3.3 - Prob. 44PPECh. 3.3 - Prob. 45PPECh. 3.3 - Prob. 46PPECh. 3.3 - Prob. 47PPECh. 3.3 - Prob. 48PPECh. 3.3 - Prob. 49PPECh. 3.3 - Prob. 50PPECh. 3.3 - Prob. 51PPECh. 3.3 - Prob. 52PPECh. 3.3 - Prob. 53PPECh. 3.3 - Prob. 54PPECh. 3.3 - Prob. 55PPECh. 3.3 - Prob. 56PPECh. 3.3 - Prob. 57PPECh. 3.3 - Prob. 58PPECh. 3.3 - Prob. 59PPECh. 3.3 - Prob. 60PPECh. 3.3 - Prob. 61PPECh. 3.3 - Prob. 62PPECh. 3.3 - Prob. 63PPECh. 3.3 - Prob. 64PPECh. 3.3 - Prob. 65STPCh. 3.3 - Prob. 66STPCh. 3.3 - Prob. 67STPCh. 3.3 - Prob. 68MRCh. 3.3 - Prob. 69MRCh. 3.3 - Prob. 70MRCh. 3.3 - Prob. 71MRCh. 3.3 - Prob. 72MRCh. 3.3 - Prob. 73MRCh. 3.3 - Prob. 74MRCh. 3.3 - Prob. 75MRCh. 3.3 - Prob. 76MRCh. 3.3 - Prob. 1CBCh. 3.3 - Prob. 2CBCh. 3.3 - Prob. 3CBCh. 3.3 - Prob. 4CBCh. 3.3 - Prob. 5CBCh. 3.4 - Prob. 1CBCh. 3.4 - Prob. 2CBCh. 3.4 - Prob. 3CBCh. 3.4 - Prob. 4CBCh. 3.4 - Prob. 5CBCh. 3.4 - Prob. 6CBCh. 3.4 - Prob. 7CBCh. 3.4 - Prob. 8CBCh. 3.4 - Prob. 1PCh. 3.4 - Prob. 2PCh. 3.4 - Prob. 3PCh. 3.4 - Prob. 4PCh. 3.4 - Prob. 5PCh. 3.4 - Prob. 1LCCh. 3.4 - Prob. 2LCCh. 3.4 - Prob. 3LCCh. 3.4 - Prob. 4LCCh. 3.4 - Prob. 5LCCh. 3.4 - Prob. 6LCCh. 3.4 - Prob. 7LCCh. 3.4 - Prob. 8LCCh. 3.4 - Prob. 9PPECh. 3.4 - Prob. 10PPECh. 3.4 - Prob. 11PPECh. 3.4 - Prob. 12PPECh. 3.4 - Prob. 13PPECh. 3.4 - Prob. 14PPECh. 3.4 - Prob. 15PPECh. 3.4 - Prob. 16PPECh. 3.4 - Prob. 17PPECh. 3.4 - Prob. 18PPECh. 3.4 - Prob. 19PPECh. 3.4 - Prob. 20PPECh. 3.4 - Prob. 21PPECh. 3.4 - Prob. 22PPECh. 3.4 - Prob. 23PPECh. 3.4 - Prob. 24PPECh. 3.4 - Prob. 25PPECh. 3.4 - Prob. 26PPECh. 3.4 - Prob. 27PPECh. 3.4 - Prob. 28PPECh. 3.4 - Prob. 29PPECh. 3.4 - Prob. 30PPECh. 3.4 - Prob. 31PPECh. 3.4 - Prob. 32PPECh. 3.4 - Prob. 33PPECh. 3.4 - Prob. 34PPECh. 3.4 - Prob. 35PPECh. 3.4 - Prob. 36PPECh. 3.4 - Prob. 37PPECh. 3.4 - Prob. 38PPECh. 3.4 - Prob. 39PPECh. 3.4 - Prob. 40PPECh. 3.4 - Prob. 41PPECh. 3.4 - Prob. 42PPECh. 3.4 - Prob. 43PPECh. 3.4 - Prob. 44PPECh. 3.4 - Prob. 45PPECh. 3.4 - Prob. 46PPECh. 3.4 - Prob. 47PPECh. 3.4 - Prob. 48PPECh. 3.4 - Prob. 49PPECh. 3.4 - Prob. 50PPECh. 3.4 - Prob. 51PPECh. 3.4 - Prob. 52PPECh. 3.4 - Prob. 53PPECh. 3.4 - Prob. 54PPECh. 3.4 - Prob. 55PPECh. 3.4 - Prob. 56PPECh. 3.4 - Prob. 57PPECh. 3.4 - Prob. 1MPCh. 3.4 - Prob. 1MCQCh. 3.4 - Prob. 2MCQCh. 3.4 - Prob. 3MCQCh. 3.4 - Prob. 4MCQCh. 3.4 - Prob. 5MCQCh. 3.4 - Prob. 6MCQCh. 3.4 - Prob. 7MCQCh. 3.4 - Prob. 8MCQCh. 3.4 - Prob. 9MCQCh. 3.4 - Prob. 10MCQCh. 3.4 - Prob. 11MCQCh. 3.4 - Prob. 12MCQCh. 3.4 - Prob. 13MCQCh. 3.4 - Prob. 14MCQCh. 3.4 - Prob. 15MCQCh. 3.4 - Prob. 16MCQCh. 3.4 - Prob. 17MCQCh. 3.4 - Prob. 18MCQCh. 3.4 - Prob. 19MCQCh. 3.4 - Prob. 20MCQCh. 3.4 - Prob. 21MCQCh. 3.4 - Prob. 22MCQCh. 3.4 - Prob. 23MCQCh. 3.4 - Prob. 24MCQCh. 3.4 - Prob. 25MCQCh. 3.4 - Prob. 26MCQCh. 3.4 - Prob. 27MCQCh. 3.4 - Prob. 28MCQCh. 3.5 - Prob. 1PCh. 3.5 - Prob. 2PCh. 3.5 - Prob. 3PCh. 3.5 - Prob. 4PCh. 3.5 - Prob. 1LCCh. 3.5 - Prob. 2LCCh. 3.5 - Prob. 3LCCh. 3.5 - Prob. 4LCCh. 3.5 - Prob. 5LCCh. 3.5 - Prob. 6LCCh. 3.5 - Prob. 7LCCh. 3.5 - Prob. 8LCCh. 3.5 - Prob. 9PPECh. 3.5 - Prob. 10PPECh. 3.5 - Prob. 11PPECh. 3.5 - Prob. 12PPECh. 3.5 - Prob. 13PPECh. 3.5 - Prob. 14PPECh. 3.5 - Prob. 15PPECh. 3.5 - Prob. 16PPECh. 3.5 - Prob. 17PPECh. 3.5 - Prob. 18PPECh. 3.5 - Prob. 19PPECh. 3.5 - Prob. 20PPECh. 3.5 - Prob. 21PPECh. 3.5 - Prob. 22PPECh. 3.5 - Prob. 23PPECh. 3.5 - Prob. 24PPECh. 3.5 - Prob. 25PPECh. 3.5 - Prob. 26PPECh. 3.5 - Prob. 27PPECh. 3.5 - Prob. 28PPECh. 3.5 - Prob. 29PPECh. 3.5 - Prob. 30PPECh. 3.5 - Prob. 31PPECh. 3.5 - Prob. 32PPECh. 3.5 - Prob. 33PPECh. 3.5 - Prob. 34PPECh. 3.5 - Prob. 35PPECh. 3.5 - Prob. 36PPECh. 3.5 - Prob. 37PPECh. 3.5 - Prob. 38PPECh. 3.5 - Prob. 39PPECh. 3.5 - Prob. 40PPECh. 3.5 - Prob. 41PPECh. 3.5 - Prob. 42PPECh. 3.5 - Prob. 43PPECh. 3.5 - Prob. 44PPECh. 3.5 - Prob. 45PPECh. 3.5 - Prob. 46PPECh. 3.5 - Prob. 47PPECh. 3.5 - Prob. 48PPECh. 3.5 - Prob. 49PPECh. 3.5 - Prob. 50PPECh. 3.5 - Prob. 51PPECh. 3.5 - Prob. 52PPECh. 3.5 - Prob. 53STPCh. 3.5 - Prob. 54STPCh. 3.5 - Prob. 55STPCh. 3.5 - Prob. 56STPCh. 3.5 - Prob. 57STPCh. 3.5 - Prob. 58MRCh. 3.5 - Prob. 59MRCh. 3.5 - Prob. 60MRCh. 3.5 - Prob. 61MRCh. 3.5 - Prob. 62MRCh. 3.5 - Prob. 63MRCh. 3.5 - Prob. 64MRCh. 3.5 - Prob. 65MRCh. 3.5 - Prob. 66MRCh. 3.6 - Prob. 1PCh. 3.6 - Prob. 2PCh. 3.6 - Prob. 3PCh. 3.6 - Prob. 4PCh. 3.6 - Prob. 5PCh. 3.6 - Prob. 1LCCh. 3.6 - Prob. 2LCCh. 3.6 - Prob. 3LCCh. 3.6 - Prob. 4LCCh. 3.6 - Prob. 5LCCh. 3.6 - Prob. 6LCCh. 3.6 - Prob. 7LCCh. 3.6 - Prob. 8LCCh. 3.6 - Prob. 9PPECh. 3.6 - Prob. 10PPECh. 3.6 - Prob. 11PPECh. 3.6 - Prob. 12PPECh. 3.6 - Prob. 13PPECh. 3.6 - Prob. 14PPECh. 3.6 - Prob. 15PPECh. 3.6 - Prob. 16PPECh. 3.6 - Prob. 17PPECh. 3.6 - Prob. 18PPECh. 3.6 - Prob. 19PPECh. 3.6 - Prob. 20PPECh. 3.6 - Prob. 21PPECh. 3.6 - Prob. 22PPECh. 3.6 - Prob. 23PPECh. 3.6 - Prob. 24PPECh. 3.6 - Prob. 25PPECh. 3.6 - Prob. 26PPECh. 3.6 - Prob. 27PPECh. 3.6 - Prob. 28PPECh. 3.6 - Prob. 29PPECh. 3.6 - Prob. 30PPECh. 3.6 - Prob. 31PPECh. 3.6 - Prob. 32PPECh. 3.6 - Prob. 33PPECh. 3.6 - Prob. 34PPECh. 3.6 - Prob. 35PPECh. 3.6 - Prob. 36PPECh. 3.6 - Prob. 37PPECh. 3.6 - Prob. 38PPECh. 3.6 - Prob. 39PPECh. 3.6 - Prob. 40PPECh. 3.6 - Prob. 41PPECh. 3.6 - Prob. 42PPECh. 3.6 - Prob. 43PPECh. 3.6 - Prob. 44PPECh. 3.6 - Prob. 45PPECh. 3.6 - Prob. 46PPECh. 3.6 - Prob. 47PPECh. 3.6 - Prob. 48PPECh. 3.6 - Prob. 49PPECh. 3.6 - Prob. 50PPECh. 3.6 - Prob. 51PPECh. 3.6 - Prob. 52PPECh. 3.6 - Prob. 53STPCh. 3.6 - Prob. 54STPCh. 3.6 - Prob. 55STPCh. 3.6 - Prob. 56MRCh. 3.6 - Prob. 57MRCh. 3.6 - Prob. 58MRCh. 3.6 - Prob. 59MRCh. 3.6 - Prob. 60MRCh. 3.6 - Prob. 61MRCh. 3.6 - Prob. 62MRCh. 3.6 - Prob. 63MRCh. 3.6 - Prob. 64MRCh. 3.7 - Prob. 1PCh. 3.7 - Prob. 2PCh. 3.7 - Prob. 3PCh. 3.7 - Prob. 4PCh. 3.7 - Prob. 5PCh. 3.7 - Prob. 1LCCh. 3.7 - Prob. 2LCCh. 3.7 - Prob. 3LCCh. 3.7 - Prob. 4LCCh. 3.7 - Prob. 5LCCh. 3.7 - Prob. 6LCCh. 3.7 - Prob. 7LCCh. 3.7 - Prob. 8LCCh. 3.7 - Prob. 9PPECh. 3.7 - Prob. 10PPECh. 3.7 - Prob. 11PPECh. 3.7 - Prob. 12PPECh. 3.7 - Prob. 13PPECh. 3.7 - Prob. 14PPECh. 3.7 - Prob. 15PPECh. 3.7 - Prob. 16PPECh. 3.7 - Prob. 17PPECh. 3.7 - Prob. 18PPECh. 3.7 - Prob. 19PPECh. 3.7 - Prob. 20PPECh. 3.7 - Prob. 21PPECh. 3.7 - Prob. 22PPECh. 3.7 - Prob. 23PPECh. 3.7 - Prob. 24PPECh. 3.7 - Prob. 25PPECh. 3.7 - Prob. 26PPECh. 3.7 - Prob. 27PPECh. 3.7 - Prob. 28PPECh. 3.7 - Prob. 29PPECh. 3.7 - Prob. 30PPECh. 3.7 - Prob. 31PPECh. 3.7 - Prob. 32PPECh. 3.7 - Prob. 33PPECh. 3.7 - Prob. 34PPECh. 3.7 - Prob. 35PPECh. 3.7 - Prob. 36PPECh. 3.7 - Prob. 37PPECh. 3.7 - Prob. 38PPECh. 3.7 - Prob. 39PPECh. 3.7 - Prob. 40PPECh. 3.7 - Prob. 41PPECh. 3.7 - Prob. 42PPECh. 3.7 - Prob. 43PPECh. 3.7 - Prob. 44PPECh. 3.7 - Prob. 45PPECh. 3.7 - Prob. 46PPECh. 3.7 - Prob. 47PPECh. 3.7 - Prob. 48PPECh. 3.7 - Prob. 49PPECh. 3.7 - Prob. 50PPECh. 3.7 - Prob. 51PPECh. 3.7 - Prob. 52PPECh. 3.7 - Prob. 53PPECh. 3.7 - Prob. 54PPECh. 3.7 - Prob. 55PPECh. 3.7 - Prob. 56PPECh. 3.7 - Prob. 57PPECh. 3.7 - Prob. 58PPECh. 3.7 - Prob. 59PPECh. 3.7 - Prob. 60PPECh. 3.7 - Prob. 61PPECh. 3.7 - Prob. 62PPECh. 3.7 - Prob. 63PPECh. 3.7 - Prob. 64PPECh. 3.7 - Prob. 65PPECh. 3.7 - Prob. 66PPECh. 3.7 - Prob. 67PPECh. 3.7 - Prob. 68PPECh. 3.7 - Prob. 69PPECh. 3.7 - Prob. 70PPECh. 3.7 - Prob. 71PPECh. 3.7 - Prob. 72PPECh. 3.7 - Prob. 73PPECh. 3.7 - Prob. 74PPECh. 3.7 - Prob. 75PPECh. 3.7 - Prob. 76PPECh. 3.7 - Prob. 77PPECh. 3.7 - Prob. 78PPECh. 3.7 - Prob. 79PPECh. 3.7 - Prob. 80PPECh. 3.7 - Prob. 81PPECh. 3.7 - Prob. 82PPECh. 3.7 - Prob. 83STPCh. 3.7 - Prob. 84STPCh. 3.7 - Prob. 85STPCh. 3.7 - Prob. 86STPCh. 3.7 - Prob. 87STPCh. 3.7 - Prob. 88MRCh. 3.7 - Prob. 89MRCh. 3.7 - Prob. 90MRCh. 3.7 - Prob. 91MRCh. 3.7 - Prob. 92MRCh. 3.7 - Prob. 93MRCh. 3.7 - Prob. 94MRCh. 3.7 - Prob. 95MRCh. 3.7 - Prob. 96MRCh. 3.7 - Prob. 97MRCh. 3.8 - Prob. 1PCh. 3.8 - Prob. 2PCh. 3.8 - Prob. 3PCh. 3.8 - Prob. 4PCh. 3.8 - Prob. 5PCh. 3.8 - Prob. 1LCCh. 3.8 - Prob. 2LCCh. 3.8 - Prob. 3LCCh. 3.8 - Prob. 4LCCh. 3.8 - Prob. 5LCCh. 3.8 - Prob. 6LCCh. 3.8 - Prob. 7LCCh. 3.8 - Prob. 8LCCh. 3.8 - Prob. 9LCCh. 3.8 - Prob. 10PPECh. 3.8 - Prob. 11PPECh. 3.8 - Prob. 12PPECh. 3.8 - Prob. 13PPECh. 3.8 - Prob. 14PPECh. 3.8 - Prob. 15PPECh. 3.8 - Prob. 16PPECh. 3.8 - Prob. 17PPECh. 3.8 - Prob. 18PPECh. 3.8 - Prob. 19PPECh. 3.8 - Prob. 20PPECh. 3.8 - Prob. 21PPECh. 3.8 - Prob. 22PPECh. 3.8 - Prob. 23PPECh. 3.8 - Prob. 24PPECh. 3.8 - Prob. 25PPECh. 3.8 - Prob. 26PPECh. 3.8 - Prob. 27PPECh. 3.8 - Prob. 28PPECh. 3.8 - Prob. 29PPECh. 3.8 - Prob. 30PPECh. 3.8 - Prob. 31PPECh. 3.8 - Prob. 32PPECh. 3.8 - Prob. 33PPECh. 3.8 - Prob. 34PPECh. 3.8 - Prob. 35PPECh. 3.8 - Prob. 36PPECh. 3.8 - Prob. 37PPECh. 3.8 - Prob. 38PPECh. 3.8 - Prob. 39PPECh. 3.8 - Prob. 40PPECh. 3.8 - Prob. 41PPECh. 3.8 - Prob. 42PPECh. 3.8 - Prob. 43PPECh. 3.8 - Prob. 44PPECh. 3.8 - Prob. 45PPECh. 3.8 - Prob. 46STPCh. 3.8 - Prob. 47STPCh. 3.8 - Prob. 48STPCh. 3.8 - Prob. 49MRCh. 3.8 - Prob. 50MRCh. 3.8 - Prob. 51MRCh. 3.8 - Prob. 52MRCh. 3.8 - Prob. 53MRCh. 3.8 - Prob. 54MRCh. 3.8 - Prob. 55MRCh. 3.8 - Prob. 56MRCh. 3.8 - Prob. 57MRCh. 3.8 - Prob. 58MRCh. 3.8 - Prob. 59MRCh. 3.8 - Prob. 60MRCh. 3.8 - Prob. 61MRCh. 3.8 - Prob. 62MRCh. 3.8 - Prob. 63MRCh. 3 - Prob. 1GRCh. 3 - Prob. 2GRCh. 3 - Prob. 3GRCh. 3 - Prob. 4GRCh. 3 - Prob. 5GRCh. 3 - Prob. 6GRCh. 3 - Prob. 7GRCh. 3 - Prob. 8GRCh. 3 - Prob. 9GRCh. 3 - Prob. 10GRCh. 3 - Prob. 11GRCh. 3 - Prob. 12GRCh. 3 - Prob. 13GRCh. 3 - Prob. 14GRCh. 3 - Prob. 15GRCh. 3 - Prob. 16GRCh. 3 - Prob. 17GRCh. 3 - Prob. 18GRCh. 3 - Prob. 19GRCh. 3 - Prob. 20GRCh. 3 - Prob. 21GRCh. 3 - Prob. 22GRCh. 3 - Prob. 23GRCh. 3 - Prob. 24GRCh. 3 - Prob. 25GRCh. 3 - Prob. 26GRCh. 3 - Prob. 27GRCh. 3 - Prob. 28GRCh. 3 - Prob. 29GRCh. 3 - Prob. 30GRCh. 3 - Prob. 31GRCh. 3 - Prob. 32GRCh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 13CRCh. 3 - Prob. 14CRCh. 3 - Prob. 15CRCh. 3 - Prob. 16CRCh. 3 - Prob. 17CRCh. 3 - Prob. 18CRCh. 3 - Prob. 19CRCh. 3 - Prob. 20CRCh. 3 - Prob. 21CRCh. 3 - Prob. 22CRCh. 3 - Prob. 23CRCh. 3 - Prob. 24CRCh. 3 - Prob. 25CRCh. 3 - Prob. 26CRCh. 3 - Prob. 27CRCh. 3 - Prob. 28CRCh. 3 - Prob. 29CRCh. 3 - Prob. 30CRCh. 3 - Prob. 31CRCh. 3 - Prob. 32CRCh. 3 - Prob. 33CRCh. 3 - Prob. 34CRCh. 3 - Prob. 35CRCh. 3 - Prob. 36CRCh. 3 - Prob. 37CRCh. 3 - Prob. 38CRCh. 3 - Prob. 39CRCh. 3 - Prob. 40CRCh. 3 - Prob. 41CRCh. 3 - Prob. 42CRCh. 3 - Prob. 43CRCh. 3 - Prob. 44CRCh. 3 - Prob. 45CRCh. 3 - Prob. 46CRCh. 3 - Prob. 47CRCh. 3 - Prob. 48CRCh. 3 - Prob. 49CRCh. 3 - Prob. 50CRCh. 3 - Prob. 51CRCh. 3 - Prob. 52CRCh. 3 - Prob. 53CRCh. 3 - Prob. 54CRCh. 3 - Prob. 55CRCh. 3 - Prob. 56CRCh. 3 - Prob. 57CRCh. 3 - Prob. 58CRCh. 3 - Prob. 59CRCh. 3 - Prob. 60CRCh. 3 - Prob. 61CRCh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - Prob. 16CTCh. 3 - Prob. 17CTCh. 3 - Prob. 18CTCh. 3 - Prob. 19CTCh. 3 - Prob. 20CTCh. 3 - Prob. 21CTCh. 3 - Prob. 22CTCh. 3 - Prob. 23CTCh. 3 - Prob. 24CTCh. 3 - Prob. 25CTCh. 3 - Prob. 26CTCh. 3 - Prob. 27CTCh. 3 - Prob. 28CTCh. 3 - Prob. 1CCSRCh. 3 - Prob. 2CCSRCh. 3 - Prob. 3CCSRCh. 3 - Prob. 4CCSRCh. 3 - Prob. 5CCSRCh. 3 - Prob. 6CCSRCh. 3 - Prob. 7CCSRCh. 3 - Prob. 8CCSRCh. 3 - Prob. 9CCSRCh. 3 - Prob. 10CCSRCh. 3 - Prob. 11CCSRCh. 3 - Prob. 12CCSRCh. 3 - Prob. 13CCSRCh. 3 - Prob. 14CCSRCh. 3 - Prob. 15CCSRCh. 3 - Prob. 16CCSRCh. 3 - Prob. 17CCSRCh. 3 - Prob. 18CCSRCh. 3 - Prob. 19CCSRCh. 3 - Prob. 20CCSRCh. 3 - Prob. 21CCSRCh. 3 - Prob. 22CCSRCh. 3 - Prob. 23CCSRCh. 3 - Prob. 24CCSRCh. 3 - Prob. 25CCSRCh. 3 - Prob. 26CCSRCh. 3 - Prob. 27CCSRCh. 3 - Prob. 28CCSRCh. 3 - Prob. 29CCSRCh. 3 - Prob. 30CCSRCh. 3 - Prob. 31CCSRCh. 3 - Prob. 32CCSR
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- Assume {u1, U2, u3, u4} does not span R³. Select the best statement. A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set. B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³. C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set. D. {u1, U2, u3} cannot span R³. E. {U1, U2, u3} spans R³ if u̸4 is the zero vector. F. none of the abovearrow_forwardSelect the best statement. A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors are distinct. n B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0 excluded spans Rª. ○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n vectors. ○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors spans Rn. E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn. F. none of the abovearrow_forwardAssume {u1, U2, u3, u4} does not span R³. Select the best statement. A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set. B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³. C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set. D. {u1, U2, u3} cannot span R³. E. {U1, U2, u3} spans R³ if u̸4 is the zero vector. F. none of the abovearrow_forward
- Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) ☐ A. { 7 4 3 13 -9 8 -17 7 ☐ B. 0 -8 3 ☐ C. 0 ☐ D. -5 ☐ E. 3 ☐ F. 4 THarrow_forward3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.) 3 ☐ A. The vector 3 is in the span. -1 3 ☐ B. The vector -5 75°1 is in the span. ГОЛ ☐ C. The vector 0 is in the span. 3 -4 is in the span. OD. The vector 0 3 ☐ E. All vectors in R³ are in the span. 3 F. The vector 9 -4 5 3 is in the span. 0 ☐ G. We cannot tell which vectors are i the span.arrow_forward(20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0arrow_forward
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