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x-2\sqrt{2}-\left(-1\right)>0
To find the opposite of 2\sqrt{2}-1, find the opposite of each term.
x-2\sqrt{2}+1>0
The opposite of -1 is 1.
x+1>2\sqrt{2}
Add 2\sqrt{2} to both sides. Anything plus zero gives itself.
x>2\sqrt{2}-1
Subtract 1 from both sides.