SOLUTION: Solve the inequality. Give the solution set in interval notation. |5x-3|+5 > or equal to 9 The solution set is?

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Question 901994: Solve the inequality. Give the solution set in interval notation.
|5x-3|+5 > or equal to 9
The solution set is?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
I am giving guidance but not a solution.

First, isolate the absolute value expression and treat it as a variable to solve.

Next, examine two cases for the input of the absolute value FUNCTION, as the entire expression INSIDE the absolute value function.

Either 5x-3 is POSITIVE OR ZERO; meaning that ;
OR
5x-3 is NEGATIVE; meaning .

You can understand that second case if you would carefully examine according to the definition of absolute value and make reference to a number line.

Solve for both cases individually.
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!

Solve the inequality. Give the solution set in interval notation.
|5x-3|+5 > or equal to 9
The solution set is?




 ------ Subtracting 5

             OR             

Solve for x in both cases.

Then do a check!! 



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