Question

I need help with my algebra, solve and graph the inequality.

Answer 1

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:

`\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}`

Simplifying we get:

`0<5.`

Therefore, the solution set is all the real line.

Answer: The solution set is all the real numbers, the graph is: