SOLUTION: what is the solution set of the equation |3-2x|=5?
(1){-1,4} (2){1,-4} (3){-1} (4){4}
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Question 596188: what is the solution set of the equation |3-2x|=5?
(1){-1,4} (2){1,-4} (3){-1} (4){4}
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 5 and it's opposite -5
Now lets focus on the first equation
Subtract 3 from both sides
Combine like terms on the right side
Divide both sides by -2 to isolate x
Divide
Now lets focus on the second equation
Subtract 3 from both sides
Combine like terms on the right side
Divide both sides by -2 to isolate x
Divide
So the solutions to are:
or
This means that the solution set is {-1,4}
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