You can put this solution on YOUR website! Break up the number line into 3 distinct regions using the absolute value arguments.
3x+1=0
x=-1/3
When ,
When ,
.
.
.
3-2x=0
3=2x
x=3/2
When ,
When ,
.
.
.
Here are the 3 regions.
(,)
.
.
.
(,)
Not in the valid region, no solution.
.
.
.
(,)
.
.
.
Two solutions: x=-9/5 and x=13/5.
We have to solve these 4 cases
Case 1:
Case 2:
Case 3:
Case 4:
and check each in the original to see if it is a
solution or whether it is extraneous.
Case 1:
Check in original:
That does not check. so 7 is extraneous.
Case 2:
Check in original:
That checks, so is a solution.
Case 3:
Check in original:
That checks so is a solution.
Case 4:
Check in original:
That does not check, so is extraneous.
There are two solutions:
and
Edwin
