SOLUTION: I need answer to the below absolute value/inequality broblem listed below. Thanks 52 >= -2│ u + 5│+7

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Question 42791: I need answer to the below absolute value/inequality broblem listed below. Thanks

52 >= -2│ u + 5│+7

Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
52 ≥ -2 |u + 5| + 7
Isolate the absolute value first...
45 ≥ -2 |u + 5|
-45/2 ≤ |u + 5| or
|u + 5| ≥ -45/2
We need not go further, because the least the absolute value could be is zero, and that will always be more than -45/2...so the solution is all real numbers...