PDA

View Full Version : Need help solving compound linear inequality


Nb3fan
Oct 27, 2003, 09:34 AM
Help!
the problem is

2-8(3x-1) less than/equal to 4+6x-2 (4-x)

I came up with x greater than/equal to -7/8.

Is this right?? Thank you!

elina
Oct 28, 2003, 02:56 AM
nb3fan, hi, are you sure the answer is -7/8?. well, I got a different answer... I got +7/16

Ok, here is what I did... the steps are:

Problem:
 
2  - 8(3x-1) =< 4 + 6x -2(4-x)
--------------------------------------------------

The Steps:

2 -24x + 8 =< 4 + 6x -8 + 2x

-24x + 10 =< -4 + 8x

        -32x =< -14

             x =< -14/-32

             x =< 14/32
           
             x =< 7/16

Order of operation for this problem is "distributive property for multiplying each term in the bracket" goes 1st, then + and - last