SOLUTION: I'm trying to find the solution set for the following problem: 2(x-2)< 4 or 4 less than or equal to 2(X-2) I simplified both sides first; 2x-4 <

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Question 461801: I'm trying to find the solution set for the following problem:
2(x-2)< 4 or 4 less than or equal to 2(X-2)

I simplified both sides first;
2x-4 < 4 or 4 less than or equal to 2x-4
2x<8 8 less than or equal to 2x
x< 4 x greater or equal to 4
I'm confused at this point and guessed the solution set of:
(-infinite, 4) U (4, infinite)
I appreciate any feedback to get me on the right track. Thank you.

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Nothing to become confuse the solution for the inequality x<4 contain all real numbers less then 4. In set notation the solution is {x|x<4}, and in interval notation is (-infinity, 0).