solve the given inequality check your awnser write the solution set as an inequality4x -2 <6Part B) write the solution set as a graph on a number line Part C) write the solution set using interval notation

Respuesta :

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: