SOLUTION: |2x-6| + 2 >(or equal to) 2

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Question 180807: |2x-6| + 2 >(or equal to) 2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
abs%282x-6%29%2B2%3E=2 Start with the given inequality


abs%282x-6%29%3E=0 Subtract 2 from both sides.


Now because the absolute value of any number (except 0) is ALWAYS positive. Also, the absolute value of 0 is 0.

So this means that abs%282x-6%29 will ALWAYS be greater than or equal to zero for any "x" value

So abs%282x-6%29%3E=0 is true for all real numbers.


So the answer is all real numbers.


So the answer in interval notation is


Also, the answer in set-builder notation is (this reads: x is in the set of all real numbers)