SOLUTION: To state in interval notation the absolute value of 2x-2 is greater than or eq to 1/2 do I move the -2 and change the sign of the equality? thank you!

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Question 55084: To state in interval notation the absolute value of 2x-2 is greater than or eq to 1/2 do I move the -2 and change the sign of the equality?
thank you!
Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
To state in interval notation the absolute value of 2x-2 is greater than or eq to 1/2 do I move the -2 and change the sign of the equality?
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|2x-2|<=(1/2) means,
-1/2<=2x-2<=(1/2)
Add 2 along the line to get:
(3/2)<=2x<=5/2
Divide thru by 2 to get:
3/4<=x<=5/4
In interval notation this is written [3/4,5/4]
Cheers,
Stan H.