Question

|4x - 6| < 6Group of answer choices-3 < x < 00 < x < 3x > 3 or x < 0x < 3

Answer 1

We have the next inequality

$|4x-6|<6$

We have n absolute value inequality so we will have two cases.

First case

$4x-6>-6$

So we need to isolate the x

$\begin{gathered} 4x>-6+6 \\ 4x>0 \\ x>0 \end{gathered}$

For the second case

$4x-6<6$

we isolate the x

$\begin{gathered} 4x<6+6 \\ 4x<12 \\ x<\frac{12}{4} \\ x<3 \end{gathered}$

Therefore the solution for the inequality is

[tex]0

ANSWER

0