I completed the problem the same way I did the other one. I think I followed the right steps.

|2x-2|>4
-4>2x-2>4 add 2 to both sides
-2>2x>6
divide all numbers by 2

-1>x>3 is my answer

Quote:

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Originally Posted by MsTaylor23

I completed the problem the same way I did the other one. I think I followed the right steps.

|2x-2|>4
-4>2x-2>4 add 2 to both sides
-2>2x>6
divide all numbers by 2

-1>x>3 is my answer

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Close. Things get a little confusing when you try and write it like this. What you are saying with your answer is that -1 is greater than x and x is greater than 3 - how can that be? Actually what you are trying to say is that X may be < -1 OR greater than +3.

It's often best to split the initial inequality that uses absolute values into two statements, and then do the math like you did, Thus:

|2x-2|>4
2x-2 < -4 or 2x-2 >4
2x < -2 or 2x >6
x< -1 or x>3

Hope this helps.