SOLUTION: solve each equation or inequality |2x-6|=81

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Question 174191This question is from textbook algebra 1
: solve each equation or inequality
|2x-6|=81
This question is from textbook algebra 1

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation


Break up the absolute value (remember, if you have , then or )

or Set the expression equal to the original value 81 and it's opposite -81




Now lets focus on the first equation


Add 6 to both sides


Combine like terms on the right side


Divide both sides by 2 to isolate x



Reduce







Now lets focus on the second equation



Add 6 to both sides


Combine like terms on the right side


Divide both sides by 2 to isolate x



Reduce





So the solutions are:

and



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