SOLUTION: {{{-x<2x+3<-8x+3}}}

Question 151260:
Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!
-x<2x+3<-8x+3

This is the intersection of:
-x<2x+3
2x+3<-8x+3

So, I'll solve the first inequality first.
-x<2x+3
-x+x<2x+x+3
0<3x+3
0-3<3x+3-3
-3<3x
3x>-3
x>-1

Next, the second inequality,
2x+3<-8x+3
2x+8x+3<-8x+8x+3
10x+3<3
10x+3-3<3-3
10x<0
10x/10<0/10
x<0

Now, notice the blue inequalities,
we should get their intersection.
Quick crash course:
Given two sets a Go back to the blue inequalities.
x>-1
x<0
Take note that I can write x>-1 into -1 So, the intersection of -1 is
-1< x <0
And that's the answer.

Power up,
HyperBrain!

RELATED QUESTIONS
{{{-x<2x+3<-8x+3}}} (answered by Edwin McCravy)

4x-3+2x=8x-3-x (answered by user_dude2008)

7x+2x=8x-3 (answered by rfer,rapaljer)

8x-2x-3=0 (answered by jim_thompson5910)

8x^2-3=2x (answered by tommyt3rd)

2x + 5 < 8x +... (answered by josgarithmetic)

2x^3+8x^3+12= (answered by jim_thompson5910)

f(x) = -2x^2 - 8x +... (answered by jim_thompson5910)

x^3+8x^2+2x+16 (answered by Fombitz)