SOLUTION: Solve the open sentence and name and graph the solution set. Please and thank you, to I can have a clear understanding of what I am doing. |x-5|=8

Question 75856This question is from textbook Algebra I
: Solve the open sentence and name and graph the solution set. Please and thank you, to I can have a clear understanding of what I am doing.
|x-5|=8

This question is from textbook Algebra I

Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
There are two conditinos for equations containing absolute values
Condition #1
x-5=8 [because x could be greater than 0 (a positive number)]
x=8+5 [solve for x]
x=13
.
Condition #2
x-5=-8 [because x could be less than zero (a negative number]
x=-8+5 [solve for x]
x=-3
.
So the set is
x such that x is {13 or -3}
.
Check by plugging either solution back into the original equation and solve.
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