Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
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Chapter 1.4, Problem 46HP
To determine

To solve: the given equation.

Expert Solution & Answer
Check Mark

Answer to Problem 46HP

The result is x{1,1} .

Explanation of Solution

Given information:

Given equation is

  |2x1|+3=|5x|

Calculation:

In order to clear the absolute value bar, write all the possibilities:

  |2x1|={2x+1,2x1<02x1,2x10|5x|={5+x,5x<05x,5x0

Therefore,

  |2x1|={2x+1,x<122x1,x12|5x|={5+x,x>55x,x5

The following key points and interval

  (12,5)(,12),[12,5],(5,)

Solve the equation on given interval x(,12) ,

Now solve the equation,

  2x+1+3=5x2x+4+2x=5x+2x4=5+xx=1

Now, check the solution is in the interval (,12) .

Solve the equation on given interval x[12,5] .

Now, solve the equation

  2x1+3=5x2x+2+x=5x+x3x=3x=1

Now, check the solution is in the interval [12,5]

  1[12,5]

Solve the equation of the given interval x(5,)

Now, solve the equation

  2x1+3=5+x2x+2x=5+xxx+2=5x=7

Now, check the solution is in the interval (5,) .

  7(5,)

Hence, the result is x{1,1} .

Chapter 1 Solutions

Algebra 2

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 - 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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 - 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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 - 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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 - 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