To solve the inequality we:
1) put the terms that include n on one side of the equation, and the constants on the other side of the equation:
[tex]\begin{gathered} 4n+3<6n+8-2n, \\ 4n-6n+2n+3<6n+8-2n-6n+2n, \\ 4n-6n+2n+3-3<8-3, \\ 4n-6n+2n<8-3. \end{gathered}[/tex]
Simplifying we get:
[tex]0<5.[/tex]
Therefore, the solution set is all the real line.
Answer: The solution set is all the real numbers, the graph is:
