Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 1.5, Problem 18PPS
To determine
To solve: the given inequality and graph the solution on number line.
Expert Solution & Answer
Answer to Problem 18PPS
The solution is given by
Explanation of Solution
Given information:
Given inequality
Calculation:
Consider the given inequality,
Now, solve the inequality as shown,
Now, graph the inequality as shown:
The closed ball suggests that the solution region is included the point
Lesser than sign indicates the region is left side to the point
Hence, the solution of the inequality is
Chapter 1 Solutions
Algebra 2
Ch. 1.1 - Prob. 1ACYPCh. 1.1 - Prob. 1BCYPCh. 1.1 - Prob. 2ACYPCh. 1.1 - Prob. 2BCYPCh. 1.1 - Prob. 2CCYPCh. 1.1 - Prob. 3CYPCh. 1.1 - Prob. 1CYUCh. 1.1 - Prob. 2CYUCh. 1.1 - Prob. 3CYUCh. 1.1 - Prob. 4CYU
Ch. 1.1 - Prob. 5CYUCh. 1.1 - Prob. 6CYUCh. 1.1 - Prob. 7CYUCh. 1.1 - Prob. 8CYUCh. 1.1 - Prob. 9CYUCh. 1.1 - Prob. 10CYUCh. 1.1 - Prob. 11PPSCh. 1.1 - Prob. 12PPSCh. 1.1 - Prob. 13PPSCh. 1.1 - Prob. 14PPSCh. 1.1 - Prob. 15PPSCh. 1.1 - Prob. 16PPSCh. 1.1 - Prob. 17PPSCh. 1.1 - Prob. 18PPSCh. 1.1 - Prob. 19PPSCh. 1.1 - Prob. 20PPSCh. 1.1 - Prob. 21PPSCh. 1.1 - Prob. 22PPSCh. 1.1 - Prob. 23PPSCh. 1.1 - Prob. 24PPSCh. 1.1 - Prob. 25PPSCh. 1.1 - Prob. 26PPSCh. 1.1 - Prob. 27PPSCh. 1.1 - Prob. 28PPSCh. 1.1 - Prob. 29PPSCh. 1.1 - Prob. 30PPSCh. 1.1 - Prob. 31PPSCh. 1.1 - Prob. 32PPSCh. 1.1 - Prob. 33PPSCh. 1.1 - Prob. 34PPSCh. 1.1 - Prob. 35PPSCh. 1.1 - Prob. 36PPSCh. 1.1 - Prob. 37PPSCh. 1.1 - Prob. 38PPSCh. 1.1 - Prob. 39PPSCh. 1.1 - Prob. 40PPSCh. 1.1 - Prob. 41PPSCh. 1.1 - Prob. 42PPSCh. 1.1 - Prob. 43HPCh. 1.1 - Prob. 44HPCh. 1.1 - Prob. 45HPCh. 1.1 - Prob. 46HPCh. 1.1 - Prob. 47HPCh. 1.1 - Prob. 48HPCh. 1.1 - Prob. 49HPCh. 1.1 - Prob. 50HPCh. 1.1 - Prob. 51HPCh. 1.1 - Prob. 52HPCh. 1.1 - Prob. 53HPCh. 1.1 - Prob. 54STPCh. 1.1 - Prob. 55STPCh. 1.1 - Prob. 56STPCh. 1.1 - Prob. 57STPCh. 1.1 - Prob. 58STPCh. 1.1 - Prob. 59STPCh. 1.1 - Prob. 60SCh. 1.1 - Prob. 61SCh. 1.1 - Prob. 62SCh. 1.1 - Prob. 63SCh. 1.1 - Prob. 64SCh. 1.1 - Prob. 65SCh. 1.1 - Prob. 66SCh. 1.1 - Prob. 67SCh. 1.2 - Prob. 1ACYPCh. 1.2 - Prob. 1BCYPCh. 1.2 - Prob. 1CCYPCh. 1.2 - Prob. 1DCYPCh. 1.2 - Prob. 2CYPCh. 1.2 - Prob. 3ACYPCh. 1.2 - Prob. 3BCYPCh. 1.2 - Prob. 4CYPCh. 1.2 - Prob. 5CYPCh. 1.2 - Prob. 1CYUCh. 1.2 - Prob. 2CYUCh. 1.2 - Prob. 3CYUCh. 1.2 - Prob. 4CYUCh. 1.2 - Prob. 5CYUCh. 1.2 - Prob. 6CYUCh. 1.2 - Prob. 7CYUCh. 1.2 - Prob. 8CYUCh. 1.2 - Prob. 9CYUCh. 1.2 - Prob. 10CYUCh. 1.2 - Prob. 11CYUCh. 1.2 - Prob. 12CYUCh. 1.2 - Prob. 13CYUCh. 1.2 - Prob. 14CYUCh. 1.2 - Prob. 15CYUCh. 1.2 - Prob. 16CYUCh. 1.2 - Prob. 17CYUCh. 1.2 - Prob. 18PPSCh. 1.2 - Prob. 19PPSCh. 1.2 - Prob. 20PPSCh. 1.2 - Prob. 21PPSCh. 1.2 - Prob. 22PPSCh. 1.2 - Prob. 23PPSCh. 1.2 - Prob. 24PPSCh. 1.2 - Prob. 25PPSCh. 1.2 - Prob. 26PPSCh. 1.2 - Prob. 27PPSCh. 1.2 - Prob. 28PPSCh. 1.2 - Prob. 29PPSCh. 1.2 - Prob. 30PPSCh. 1.2 - Prob. 31PPSCh. 1.2 - Prob. 32PPSCh. 1.2 - Prob. 33PPSCh. 1.2 - Prob. 34PPSCh. 1.2 - Prob. 35PPSCh. 1.2 - Prob. 36PPSCh. 1.2 - Prob. 37PPSCh. 1.2 - Prob. 38PPSCh. 1.2 - Prob. 39PPSCh. 1.2 - Prob. 40PPSCh. 1.2 - Prob. 41PPSCh. 1.2 - Prob. 42PPSCh. 1.2 - Prob. 43PPSCh. 1.2 - Prob. 44PPSCh. 1.2 - Prob. 45PPSCh. 1.2 - Prob. 46PPSCh. 1.2 - Prob. 47PPSCh. 1.2 - Prob. 48PPSCh. 1.2 - Prob. 49PPSCh. 1.2 - Prob. 50PPSCh. 1.2 - Prob. 51PPSCh. 1.2 - Prob. 52PPSCh. 1.2 - Prob. 53HPCh. 1.2 - Prob. 54HPCh. 1.2 - Prob. 55HPCh. 1.2 - Prob. 56HPCh. 1.2 - Prob. 57HPCh. 1.2 - Prob. 58HPCh. 1.2 - Prob. 59HPCh. 1.2 - Prob. 60HPCh. 1.2 - Prob. 61HPCh. 1.2 - Prob. 62HPCh. 1.2 - Prob. 63HPCh. 1.2 - Prob. 64HPCh. 1.2 - Prob. 65HPCh. 1.2 - Prob. 66STPCh. 1.2 - Prob. 67STPCh. 1.2 - Prob. 68STPCh. 1.2 - Prob. 69STPCh. 1.2 - Prob. 70STPCh. 1.2 - Prob. 71STPCh. 1.2 - Prob. 72STPCh. 1.2 - Prob. 73STPCh. 1.2 - Prob. 74STPCh. 1.2 - Prob. 75STPCh. 1.2 - Prob. 76STPCh. 1.2 - Prob. 77STPCh. 1.2 - Prob. 78STPCh. 1.2 - Prob. 79STPCh. 1.2 - Prob. 80STPCh. 1.2 - Prob. 81STPCh. 1.2 - Prob. 82SCh. 1.2 - Prob. 83SCh. 1.2 - Prob. 84SCh. 1.2 - Prob. 85SCh. 1.2 - Prob. 86SCh. 1.2 - Prob. 87SCh. 1.2 - Prob. 88SCh. 1.2 - Prob. 89SCh. 1.3 - Prob. 1ACYPCh. 1.3 - Prob. 1BCYPCh. 1.3 - Prob. 2ACYPCh. 1.3 - Prob. 2BCYPCh. 1.3 - Prob. 3CYPCh. 1.3 - Prob. 4ACYPCh. 1.3 - Prob. 4BCYPCh. 1.3 - Prob. 5ACYPCh. 1.3 - Prob. 5BCYPCh. 1.3 - Prob. 6CYPCh. 1.3 - Prob. 7CYPCh. 1.3 - Prob. 1CYUCh. 1.3 - Prob. 2CYUCh. 1.3 - Prob. 3CYUCh. 1.3 - Prob. 4CYUCh. 1.3 - Prob. 5CYUCh. 1.3 - Prob. 6CYUCh. 1.3 - Prob. 7CYUCh. 1.3 - Prob. 8CYUCh. 1.3 - Prob. 9CYUCh. 1.3 - Prob. 10CYUCh. 1.3 - Prob. 11CYUCh. 1.3 - Prob. 12CYUCh. 1.3 - Prob. 13CYUCh. 1.3 - Prob. 14CYUCh. 1.3 - Prob. 15CYUCh. 1.3 - Prob. 16CYUCh. 1.3 - Prob. 17CYUCh. 1.3 - Prob. 18CYUCh. 1.3 - Prob. 19CYUCh. 1.3 - Prob. 20CYUCh. 1.3 - Prob. 21CYUCh. 1.3 - Prob. 22PPSCh. 1.3 - Prob. 23PPSCh. 1.3 - Prob. 24PPSCh. 1.3 - Prob. 25PPSCh. 1.3 - Prob. 26PPSCh. 1.3 - Prob. 27PPSCh. 1.3 - Prob. 28PPSCh. 1.3 - Prob. 29PPSCh. 1.3 - Prob. 30PPSCh. 1.3 - Prob. 31PPSCh. 1.3 - Prob. 32PPSCh. 1.3 - Prob. 33PPSCh. 1.3 - Prob. 34PPSCh. 1.3 - Prob. 35PPSCh. 1.3 - Prob. 36PPSCh. 1.3 - Prob. 37PPSCh. 1.3 - Prob. 38PPSCh. 1.3 - Prob. 39PPSCh. 1.3 - Prob. 40PPSCh. 1.3 - Prob. 41PPSCh. 1.3 - Prob. 42PPSCh. 1.3 - Prob. 43PPSCh. 1.3 - Prob. 44PPSCh. 1.3 - Prob. 45PPSCh. 1.3 - Prob. 46PPSCh. 1.3 - Prob. 47PPSCh. 1.3 - Prob. 48PPSCh. 1.3 - Prob. 49PPSCh. 1.3 - Prob. 50PPSCh. 1.3 - Prob. 51PPSCh. 1.3 - Prob. 52PPSCh. 1.3 - Prob. 53PPSCh. 1.3 - Prob. 54PPSCh. 1.3 - Prob. 55PPSCh. 1.3 - Prob. 56PPSCh. 1.3 - Prob. 57PPSCh. 1.3 - Prob. 58PPSCh. 1.3 - Prob. 59PPSCh. 1.3 - Prob. 60PPSCh. 1.3 - Prob. 61PPSCh. 1.3 - Prob. 62HPCh. 1.3 - Prob. 63HPCh. 1.3 - Prob. 64HPCh. 1.3 - Prob. 65HPCh. 1.3 - Prob. 66HPCh. 1.3 - Prob. 67HPCh. 1.3 - Prob. 68HPCh. 1.3 - Prob. 69HPCh. 1.3 - Prob. 70HPCh. 1.3 - Prob. 71STPCh. 1.3 - Prob. 72STPCh. 1.3 - Prob. 73STPCh. 1.3 - Prob. 74STPCh. 1.3 - Prob. 75SCh. 1.3 - Prob. 76SCh. 1.3 - Prob. 77SCh. 1.3 - Prob. 78SCh. 1.3 - Prob. 79SCh. 1.3 - Prob. 80SCh. 1.3 - Prob. 81SCh. 1.3 - Prob. 82SCh. 1.4 - Prob. 1ACYPCh. 1.4 - Prob. 1BCYPCh. 1.4 - Prob. 2ACYPCh. 1.4 - Prob. 2BCYPCh. 1.4 - Prob. 3ACYPCh. 1.4 - Prob. 3BCYPCh. 1.4 - Prob. 4ACYPCh. 1.4 - Prob. 4BCYPCh. 1.4 - Prob. 1CYUCh. 1.4 - Prob. 2CYUCh. 1.4 - Prob. 3CYUCh. 1.4 - Prob. 4CYUCh. 1.4 - Prob. 5CYUCh. 1.4 - Prob. 6CYUCh. 1.4 - Prob. 7CYUCh. 1.4 - Prob. 8CYUCh. 1.4 - Prob. 9CYUCh. 1.4 - Prob. 10CYUCh. 1.4 - Prob. 11CYUCh. 1.4 - Prob. 12CYUCh. 1.4 - Prob. 13CYUCh. 1.4 - Prob. 14PPSCh. 1.4 - Prob. 15PPSCh. 1.4 - Prob. 16PPSCh. 1.4 - Prob. 17PPSCh. 1.4 - Prob. 18PPSCh. 1.4 - Prob. 19PPSCh. 1.4 - Prob. 20PPSCh. 1.4 - Prob. 21PPSCh. 1.4 - Prob. 22PPSCh. 1.4 - Prob. 23PPSCh. 1.4 - Prob. 24PPSCh. 1.4 - Prob. 25PPSCh. 1.4 - Prob. 26PPSCh. 1.4 - Prob. 27PPSCh. 1.4 - Prob. 28PPSCh. 1.4 - Prob. 29PPSCh. 1.4 - Prob. 30PPSCh. 1.4 - Prob. 31PPSCh. 1.4 - Prob. 32PPSCh. 1.4 - Prob. 33PPSCh. 1.4 - Prob. 34PPSCh. 1.4 - Prob. 35PPSCh. 1.4 - Prob. 36PPSCh. 1.4 - Prob. 37PPSCh. 1.4 - Prob. 38PPSCh. 1.4 - Prob. 39PPSCh. 1.4 - Prob. 40PPSCh. 1.4 - Prob. 41PPSCh. 1.4 - Prob. 42PPSCh. 1.4 - Prob. 43PPSCh. 1.4 - Prob. 44PPSCh. 1.4 - Prob. 45HPCh. 1.4 - Prob. 46HPCh. 1.4 - Prob. 47HPCh. 1.4 - Prob. 48HPCh. 1.4 - Prob. 49HPCh. 1.4 - Prob. 50HPCh. 1.4 - Prob. 51HPCh. 1.4 - Prob. 52HPCh. 1.4 - Prob. 53HPCh. 1.4 - Prob. 54HPCh. 1.4 - Prob. 55HPCh. 1.4 - Prob. 56STPCh. 1.4 - Prob. 57STPCh. 1.4 - Prob. 58STPCh. 1.4 - Prob. 59STPCh. 1.4 - Prob. 60STPCh. 1.4 - Prob. 61STPCh. 1.4 - Prob. 62STPCh. 1.4 - Prob. 63STPCh. 1.4 - Prob. 64STPCh. 1.4 - Prob. 65STPCh. 1.4 - Prob. 66STPCh. 1.4 - Prob. 67STPCh. 1.4 - Prob. 68STPCh. 1.4 - Prob. 69SCh. 1.4 - Prob. 70SCh. 1.4 - Prob. 71SCh. 1.4 - Prob. 72SCh. 1.4 - Prob. 73SCh. 1.4 - Prob. 74SCh. 1.5 - Prob. 1ACYPCh. 1.5 - Prob. 1BCYPCh. 1.5 - Prob. 2ACYPCh. 1.5 - Prob. 2BCYPCh. 1.5 - Prob. 3ACYPCh. 1.5 - Prob. 3BCYPCh. 1.5 - Prob. 3CCYPCh. 1.5 - Prob. 3DCYPCh. 1.5 - Prob. 4CYPCh. 1.5 - Prob. 1CYUCh. 1.5 - Prob. 2CYUCh. 1.5 - Prob. 3CYUCh. 1.5 - Prob. 4CYUCh. 1.5 - Prob. 5CYUCh. 1.5 - Prob. 6CYUCh. 1.5 - Prob. 7CYUCh. 1.5 - Prob. 8CYUCh. 1.5 - Prob. 9CYUCh. 1.5 - Prob. 10PPSCh. 1.5 - Prob. 11PPSCh. 1.5 - Prob. 12PPSCh. 1.5 - Prob. 13PPSCh. 1.5 - Prob. 14PPSCh. 1.5 - Prob. 15PPSCh. 1.5 - Prob. 16PPSCh. 1.5 - Prob. 17PPSCh. 1.5 - Prob. 18PPSCh. 1.5 - Prob. 19PPSCh. 1.5 - Prob. 20PPSCh. 1.5 - Prob. 21PPSCh. 1.5 - Prob. 22PPSCh. 1.5 - Prob. 23PPSCh. 1.5 - Prob. 24PPSCh. 1.5 - Prob. 25PPSCh. 1.5 - Prob. 26PPSCh. 1.5 - Prob. 27PPSCh. 1.5 - Prob. 28PPSCh. 1.5 - Prob. 29PPSCh. 1.5 - Prob. 30PPSCh. 1.5 - Prob. 31PPSCh. 1.5 - Prob. 32PPSCh. 1.5 - Prob. 33PPSCh. 1.5 - Prob. 34PPSCh. 1.5 - Prob. 35PPSCh. 1.5 - Prob. 36PPSCh. 1.5 - Prob. 37PPSCh. 1.5 - Prob. 38PPSCh. 1.5 - Prob. 39PPSCh. 1.5 - Prob. 40PPSCh. 1.5 - Prob. 41PPSCh. 1.5 - Prob. 42PPSCh. 1.5 - Prob. 43PPSCh. 1.5 - Prob. 44HPCh. 1.5 - Prob. 45HPCh. 1.5 - Prob. 46HPCh. 1.5 - Prob. 47HPCh. 1.5 - Prob. 48HPCh. 1.5 - Prob. 49HPCh. 1.5 - Prob. 50HPCh. 1.5 - Prob. 51HPCh. 1.5 - Prob. 52HPCh. 1.5 - Prob. 53HPCh. 1.5 - Prob. 54STPCh. 1.5 - Prob. 55STPCh. 1.5 - Prob. 56STPCh. 1.5 - Prob. 57STPCh. 1.5 - Prob. 58STPCh. 1.5 - Prob. 59STPCh. 1.5 - Prob. 60STPCh. 1.5 - Prob. 61SCh. 1.5 - Prob. 62SCh. 1.5 - Prob. 63SCh. 1.5 - Prob. 64SCh. 1.5 - Prob. 65SCh. 1.5 - Prob. 66SCh. 1.5 - Prob. 1ECh. 1.5 - Prob. 2ECh. 1.5 - Prob. 3ECh. 1.5 - Prob. 4ECh. 1.5 - Prob. 5ECh. 1.5 - Prob. 6ECh. 1.5 - Prob. 7ECh. 1.5 - Prob. 8ECh. 1.5 - Prob. 9ECh. 1.5 - Prob. 10ECh. 1.5 - Prob. 11ECh. 1.5 - Prob. 12ECh. 1.5 - Prob. 13ECh. 1.5 - Prob. 14ECh. 1.5 - Prob. 15ECh. 1.5 - Prob. 16ECh. 1.5 - Prob. 17ECh. 1.5 - Prob. 18ECh. 1.6 - Prob. 1ACYPCh. 1.6 - Prob. 1BCYPCh. 1.6 - Prob. 2ACYPCh. 1.6 - Prob. 2BCYPCh. 1.6 - Prob. 3ACYPCh. 1.6 - Prob. 3BCYPCh. 1.6 - Prob. 3CCYPCh. 1.6 - Prob. 3DCYPCh. 1.6 - Prob. 4ACYPCh. 1.6 - Prob. 4BCYPCh. 1.6 - Prob. 5CYPCh. 1.6 - Prob. 1CYUCh. 1.6 - Prob. 2CYUCh. 1.6 - Prob. 3CYUCh. 1.6 - Prob. 4CYUCh. 1.6 - Prob. 5CYUCh. 1.6 - Prob. 6CYUCh. 1.6 - Prob. 7CYUCh. 1.6 - Prob. 8CYUCh. 1.6 - Prob. 9CYUCh. 1.6 - Prob. 10CYUCh. 1.6 - Prob. 11CYUCh. 1.6 - Prob. 12PPSCh. 1.6 - Prob. 13PPSCh. 1.6 - Prob. 14PPSCh. 1.6 - Prob. 15PPSCh. 1.6 - Prob. 16PPSCh. 1.6 - Prob. 17PPSCh. 1.6 - Prob. 18PPSCh. 1.6 - Prob. 19PPSCh. 1.6 - Prob. 20PPSCh. 1.6 - Prob. 21PPSCh. 1.6 - Prob. 22PPSCh. 1.6 - Prob. 23PPSCh. 1.6 - Prob. 24PPSCh. 1.6 - Prob. 25PPSCh. 1.6 - Prob. 26PPSCh. 1.6 - Prob. 27PPSCh. 1.6 - Prob. 28PPSCh. 1.6 - Prob. 29PPSCh. 1.6 - Prob. 30PPSCh. 1.6 - Prob. 31PPSCh. 1.6 - Prob. 32PPSCh. 1.6 - Prob. 33PPSCh. 1.6 - Prob. 34PPSCh. 1.6 - Prob. 35PPSCh. 1.6 - Prob. 36PPSCh. 1.6 - Prob. 37PPSCh. 1.6 - Prob. 38PPSCh. 1.6 - Prob. 39PPSCh. 1.6 - Prob. 40PPSCh. 1.6 - Prob. 41PPSCh. 1.6 - Prob. 42PPSCh. 1.6 - Prob. 43PPSCh. 1.6 - Prob. 44PPSCh. 1.6 - Prob. 45PPSCh. 1.6 - Prob. 46PPSCh. 1.6 - Prob. 47PPSCh. 1.6 - Prob. 48PPSCh. 1.6 - Prob. 49PPSCh. 1.6 - Prob. 50PPSCh. 1.6 - Prob. 51PPSCh. 1.6 - Prob. 52PPSCh. 1.6 - Prob. 53HPCh. 1.6 - Prob. 54HPCh. 1.6 - Prob. 55HPCh. 1.6 - Prob. 56HPCh. 1.6 - Prob. 57HPCh. 1.6 - Prob. 58HPCh. 1.6 - Prob. 59HPCh. 1.6 - Prob. 60HPCh. 1.6 - Prob. 61HPCh. 1.6 - Prob. 62HPCh. 1.6 - Prob. 63HPCh. 1.6 - Prob. 64HPCh. 1.6 - Prob. 65HPCh. 1.6 - Prob. 66HPCh. 1.6 - Prob. 67STPCh. 1.6 - Prob. 68STPCh. 1.6 - Prob. 69STPCh. 1.6 - Prob. 70STPCh. 1.6 - Prob. 71STPCh. 1.6 - Prob. 72SCh. 1.6 - Prob. 73SCh. 1.6 - Prob. 74SCh. 1 - Prob. 1QCCh. 1 - Prob. 2QCCh. 1 - Prob. 3QCCh. 1 - Prob. 4QCCh. 1 - Prob. 5QCCh. 1 - Prob. 6QCCh. 1 - Prob. 7QCCh. 1 - Prob. 8QCCh. 1 - Prob. 9QCCh. 1 - Prob. 10QCCh. 1 - Prob. 11QCCh. 1 - Prob. 12QCCh. 1 - Prob. 13QCCh. 1 - Prob. 14QCCh. 1 - Prob. 15QCCh. 1 - Prob. 16QCCh. 1 - Prob. 17QCCh. 1 - Prob. 18QCCh. 1 - Prob. 19QCCh. 1 - Prob. 20QCCh. 1 - Prob. 21QCCh. 1 - Prob. 22QCCh. 1 - Prob. 23QCCh. 1 - Prob. 1MCQCh. 1 - Prob. 2MCQCh. 1 - Prob. 3MCQCh. 1 - Prob. 4MCQCh. 1 - Prob. 5MCQCh. 1 - Prob. 6MCQCh. 1 - Prob. 7MCQCh. 1 - Prob. 8MCQCh. 1 - Prob. 9MCQCh. 1 - Prob. 10MCQCh. 1 - Prob. 11MCQCh. 1 - Prob. 12MCQCh. 1 - Prob. 13MCQCh. 1 - Prob. 14MCQCh. 1 - Prob. 15MCQCh. 1 - Prob. 16MCQCh. 1 - Prob. 17MCQCh. 1 - Prob. 18MCQCh. 1 - Prob. 19MCQCh. 1 - Prob. 20MCQCh. 1 - Prob. 1SGRCh. 1 - Prob. 2SGRCh. 1 - Prob. 3SGRCh. 1 - Prob. 4SGRCh. 1 - Prob. 5SGRCh. 1 - Prob. 6SGRCh. 1 - Prob. 7SGRCh. 1 - Prob. 8SGRCh. 1 - Prob. 9SGRCh. 1 - Prob. 10SGRCh. 1 - Prob. 11SGRCh. 1 - Prob. 12SGRCh. 1 - Prob. 13SGRCh. 1 - Prob. 14SGRCh. 1 - Prob. 15SGRCh. 1 - Prob. 16SGRCh. 1 - Prob. 17SGRCh. 1 - Prob. 18SGRCh. 1 - Prob. 19SGRCh. 1 - Prob. 20SGRCh. 1 - Prob. 21SGRCh. 1 - Prob. 22SGRCh. 1 - Prob. 23SGRCh. 1 - Prob. 24SGRCh. 1 - Prob. 25SGRCh. 1 - Prob. 26SGRCh. 1 - Prob. 27SGRCh. 1 - Prob. 28SGRCh. 1 - Prob. 29SGRCh. 1 - Prob. 30SGRCh. 1 - Prob. 31SGRCh. 1 - Prob. 32SGRCh. 1 - Prob. 33SGRCh. 1 - Prob. 34SGRCh. 1 - Prob. 35SGRCh. 1 - Prob. 36SGRCh. 1 - Prob. 37SGRCh. 1 - Prob. 38SGRCh. 1 - Prob. 39SGRCh. 1 - Prob. 40SGRCh. 1 - Prob. 41SGRCh. 1 - Prob. 42SGRCh. 1 - Prob. 43SGRCh. 1 - Prob. 44SGRCh. 1 - Prob. 45SGRCh. 1 - Prob. 46SGRCh. 1 - Prob. 47SGRCh. 1 - Prob. 48SGRCh. 1 - Prob. 49SGRCh. 1 - Prob. 50SGRCh. 1 - Prob. 51SGRCh. 1 - Prob. 52SGRCh. 1 - Prob. 53SGRCh. 1 - Prob. 1PTCh. 1 - Prob. 2PTCh. 1 - Prob. 3PTCh. 1 - Prob. 4PTCh. 1 - Prob. 5PTCh. 1 - Prob. 6PTCh. 1 - Prob. 7PTCh. 1 - Prob. 8PTCh. 1 - Prob. 9PTCh. 1 - Prob. 10PTCh. 1 - Prob. 11PTCh. 1 - Prob. 12PTCh. 1 - Prob. 13PTCh. 1 - Prob. 14PTCh. 1 - Prob. 15PTCh. 1 - Prob. 16PTCh. 1 - Prob. 17PTCh. 1 - Prob. 18PTCh. 1 - Prob. 19PTCh. 1 - Prob. 20PTCh. 1 - Prob. 21PTCh. 1 - Prob. 22PTCh. 1 - Prob. 23PTCh. 1 - Prob. 24PTCh. 1 - Prob. 25PTCh. 1 - Prob. 1ECh. 1 - Prob. 2ECh. 1 - Prob. 3ECh. 1 - Prob. 4ECh. 1 - Prob. 5ECh. 1 - Prob. 6ECh. 1 - Prob. 1STPCh. 1 - Prob. 2STPCh. 1 - Prob. 3STPCh. 1 - Prob. 4STPCh. 1 - Prob. 5STPCh. 1 - Prob. 6STPCh. 1 - Prob. 7STPCh. 1 - Prob. 8STPCh. 1 - Prob. 9STPCh. 1 - Prob. 10STPCh. 1 - Prob. 11STPCh. 1 - Prob. 12STPCh. 1 - Prob. 13STPCh. 1 - Prob. 14STP
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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
- 4. In a study of how students give directions, forty volunteers were given the task ofexplaining to another person how to reach a destination. Researchers measured thefollowing five aspects of the subjects’ direction-giving behavior:• whether a map was available or if directions were given from memory without a map,• the gender of the direction-giver,• the distances given as part of the directions,• the number of times directions such as “north” or “left” were used,• the frequency of errors in directions.a) Identify each of the variables in this study, and whether each is quantitative orqualitative. For each quantitative variable, state whether it is discrete or continuousb) Was this an observational study or an experimental study? Explain your answerarrow_forwardFind the perimeter and areaarrow_forwardAssume {u1, U2, us} spans R³. Select the best statement. A. {U1, U2, us, u4} spans R³ unless u is the zero vector. B. {U1, U2, us, u4} always spans R³. C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set. D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³. OE. {U1, U2, 3, 4} never spans R³. F. none of the abovearrow_forward
- Assume {u1, U2, 13, 14} spans R³. Select the best statement. A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set. B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector. C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set. D. {U1, U2, us} always spans R³. E. {U1, U2, u3} may, but does not have to, span R³. F. none of the abovearrow_forwardLet H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane. Select an Answer u = 3 1. -10 8-8 -2 ,v= 5 Select an Answer -2 u = 3 4 2. + 9 ,v= 6arrow_forwardSolve for the matrix X: X (2 7³) x + ( 2 ) - (112) 6 14 8arrow_forward
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