You have the following inequality:
[tex]4x-2<6[/tex]In order to solve the previous inequality, proceed as follow:
- Add 2 both sides of the inequality:
[tex]\begin{gathered} 4x<6+2 \\ 4x<8 \end{gathered}[/tex]- Divide by 4 both sides:
[tex]\begin{gathered} \frac{4x}{4}<\frac{8}{4} \\ x<2 \end{gathered}[/tex]Hence, the solution of the given inequality is x < 2
On a number line, we have: