SOLUTION: 4x+12 < -2x-6 I've tried solving this problem, but when I check it, I am supposed to replace the variable with the answer I got and the answer is supposed to be equal. I check

Algebra ->  Expressions-with-variables -> SOLUTION: 4x+12 < -2x-6 I've tried solving this problem, but when I check it, I am supposed to replace the variable with the answer I got and the answer is supposed to be equal. I check      Log On


   

Question 68399: 4x+12 < -2x-6
I've tried solving this problem, but when I check it, I am supposed to replace the variable with the answer I got and the answer is supposed to be equal.
I checked it, but I keep getting 16=4.
Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
4x+12 < -2x-6
----------
Since you are solving an inequality the "answer" is not
supposed to be equal; it is supposed to be true.
Add 2x to both sides to get:
6x+12<-6
Subtract 12 from both sides to get:
6x<-18
Divide both sides 6 to get:
x<-3
----------
If you substiute any value less than -3 in the place
of x you should get a true statement.
For example, if x=-5 you get:
-20+12<+10-6
-8<4
This is true showing that x=-5 is part of the solution set.
-------------
Cheers,
Stan H.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
 4x + 12 < -2x - 6 
I've tried solving this problem, but when I
check it, I am supposed to replace the 
variable with the answer I got and the answer 
is supposed to be equal. 
I checked it, but I keep getting 16=4.

NO! This is NOT an equation. It is an
INEQUALITY.  So there will be no equal 
sign " = " at all!

 4x + 12 < -2x - 6

Add -12 to both sides:

 4x + 12 < -2x -  6
     -12       - 12
-------------------
 4x      < -2x - 18

Now add 2x to both sides:

      4x < -2x - 18
      2x    2x
     --------------
      6x <     -18

Divide both sides by 6

       x < -3

There is no easy way to
check an inequality.

Edwin