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3-\left(-x-1\right)>0
To find the opposite of x+1, find the opposite of each term.
3-\left(-x\right)-\left(-1\right)>0
To find the opposite of -x-1, find the opposite of each term.
3+x-\left(-1\right)>0
The opposite of -x is x.
3+x+1>0
The opposite of -1 is 1.
4+x>0
Add 3 and 1 to get 4.
x>-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.