Questions on Logic: Finite and infinite sets answered by real tutors!

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Question 146056This question is from textbook Algebra For college students
: Can anyone help me break this down so I understand it. Should it come with two answers? (1,0) for example?
|3x-5|+2=x+1
Thanks you in advanceThis question is from textbook Algebra For college students
: Can anyone help me break this down so I understand it. Should it come with two answers? (1,0) for example?
|3x-5|+2=x+1
Thanks you in advance
Answer by Edwin McCravy(2190) About Me  (Show Source):
You can put this solution on YOUR website!
Can anyone help me break this down so I understand it. Should it come with two answers? (1,0) for example?
abs(3x-5)+2=x+1
Thanks you in advance

In an absolute value equation, you solve two equations:

1.  Write the equation substituting "(expression)"
    for "abs(expression)", and solve for x.

2.  Write the equation again substituting "-(expression)"
    for "abs(expression)", and solve for x.
    

For your equation:

abs(3x-5)+2=x+1

1. Write and solve the equation:

(3x-5)+2=x+1
3x-5+2=x+1 
3x-3=x+1
2x=4
(2x)/2=4/2
x=2

2. Write and solve the equation:

-(3x-5)+2=x+1
-3x+5+2=x+1 
-3x+7=x+1
-4x=-6
(-4x)/(-4)=(-6)/(-4)
x=3/2 

Edwin