Solve.Absolute value of 2x+4 is greater than 6

Step 1
We need to solve the absolute value inequality.
${\displaystyle \left|2x+4\right|>6}$
Step 2
Firstly we discuss the rules of absolute value inequalities.
Here the steps :
Step 1: Isolate the absolute value on left hand side.
Step 2: Remove the absolute value sign.
Step 3: For greater than sign:
Quantity inside the absolute value < - (Number on other side)
OR
Quantity inside the absolute value > (Number on other side)
Step 3
${\displaystyle \left|2x+4\right|>6}$
$2x+4<-6$
$2x<-6-4$
$2x<-10$
$x<-5$
Or
$2x+4>6$
$2x>6-4$
$2x>2$
$x>1$
Step 4
So, final answer is:
$x<-5$
Or
$x>1$