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5n+3\geq 4-6-\left(-5n\right)
To find the opposite of 6-5n, find the opposite of each term.
5n+3\geq 4-6+5n
The opposite of -5n is 5n.
5n+3\geq -2+5n
Subtract 6 from 4 to get -2.
5n+3-5n\geq -2
Subtract 5n from both sides.
3\geq -2
Combine 5n and -5n to get 0.
n\in \mathrm{R}
This is true for any n.