SOLUTION: PLEASE HELP: 2 | x-2 | greater than or equal to 3 thankyou~

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Question 664089: PLEASE HELP:
2 | x-2 | greater than or equal to 3
thankyou~
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2| x-2 | >= 3

| x-2 | >= 3/2

x-2 <= -3/2 or x-2 >= 3/2

x <= -3/2+2 or x >= 3/2+2

x <= -3/2+4/2 or x >= 3/2+4/2

x <= 1/2 or x >= 7/2

So the solutions are x <= 1/2 or x >= 7/2