SOLUTION: I'm confused about how to solve an absolute value equation when there are absolute values on both sides. Here is an example: /x-3/+7is less than /x+5/-2
Algebra ->
Absolute-value
-> SOLUTION: I'm confused about how to solve an absolute value equation when there are absolute values on both sides. Here is an example: /x-3/+7is less than /x+5/-2
Log On
Question 114840: I'm confused about how to solve an absolute value equation when there are absolute values on both sides. Here is an example: /x-3/+7is less than /x+5/-2 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! /x-3/+7 <= /x+5/-2
-----------------
Draw a number line.
Plot the zero-values x=3 and x=-5
--------------------
Pick a test value in each of the resulting three x-intervals.
---------------------
x= -6 : |-9|+7 <= |-1|-2; false
x= -4 : |-7|+7 <= |1|-2 ; false
x= 4 : |1| +7 <= |9|-2 ; false
-----------------------
There is no solution for the inequality.
=========================
Cheers,
Stan H.
(