Question

What is the solution interval(s) for (3x + 21 - 2 > 3?-2.3 >x> 1x < -2.3 or x > 1x < 1X> 2.3

Answer 1

Given,

$\lvert3x+2\rvert-2>3$

Now, solving the above equation ,

$\begin{gathered} \lvert3x+2\rvert-2>3 \\ \pm(3x-2)-2>3 \\ 3x-2-2>3 \\ 3x>3+4 \\ 3x>7 \\ x>2.3 \\ -(3x-2)-2>3 \\ -3x+2-2>3 \\ -3x>3 \\ -x>1 \\ x<-1 \end{gathered}$

So, the solution is,

$\begin{gathered} 2.31} \end{gathered}$

So, the correct option is option B.