SOLUTION: Find the solution set of the equation |2x - 10| + 7 = 5.

Algebra ->  Inequalities -> SOLUTION: Find the solution set of the equation |2x - 10| + 7 = 5.      Log On


   



Question 388784: Find the solution set of the equation |2x - 10| + 7 = 5.
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
abs%282x-10%29%2B7=5 Start with the given equation


abs%282x-10%29=-2 Subtract 7 from both sides.


Since the expression abs%282x-10%29=-2 is never true (note: remember, the absolute value of any number is always positive), there are no solutions to abs%282x-10%29=-2



So there are no solutions to the given equation.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
|2x - 10| + 7 = 5
---
|2x-10| = -2
----
No solutions as an absolute value cannot be negative.
=========================
Cheers,
Stan H.
=========================