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4+11n\leq 4\left(n+1\right)+2n
Subtract 13 from 17 to get 4.
4+11n\leq 4n+4+2n
Use the distributive property to multiply 4 by n+1.
4+11n\leq 6n+4
Combine 4n and 2n to get 6n.
4+11n-6n\leq 4
Subtract 6n from both sides.
4+5n\leq 4
Combine 11n and -6n to get 5n.
5n\leq 4-4
Subtract 4 from both sides.
5n\leq 0
Subtract 4 from 4 to get 0.
n\leq 0
Product of two numbers is ≤0 if one is ≥0 and the other is ≤0. Since 5\geq 0, n must be ≤0.