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

Question 180807: |2x-6| + 2 >(or equal to) 2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given inequality

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 will ALWAYS be greater than or equal to zero for any "x" value

So 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)

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