Question

I need help Graphing the following inequalities 3(x – 2) < 2 ( x + 1)

Answer 1

3(x – 2) < 2( x + 1)

lets start by getting rid of the ( )s

multiply the number on the outside to each term on the inside:

3(x – 2) < 2( x + 1)

3x – 3*2 < 2x +2*1

3x - 6 < 2x + 2

Answer 2

next we should get our xs to one side and the rest of it to the other side:

3x - 6 < 2x + 2
+6 +6
---------------
3x+0 < 2x +8
-2x -2x
---------------
1x +0 < 0 +8

since the zeros add nothing we can ignore them

1x < 8

anything times "1" is itself so we can ignore that "1"

x < 8

Answer 3

if you have any questions about that, feel free to ask.

the next step is the graphing ...

Answer 4

that seem more simple than I thought it would be now

Answer 5

:) like I said; you already know how to add subtract multiply and divide; the trick is in knowing what the math notation is telling you to do.

Answer 6

so, to graph this, lets draw a line

<------------------------->


we know there is an "8" involved so lets stick that right in there:

<------------------------->
8

and the end result already tells us which side to pick:

x < 8 can be read as:

x <--- this side of 8


<------------------------->
<----------(8)

Answer 7

thnk you for all your help

Answer 8

youre welcome :)