i can't wrap my head around how to do this rational inequalities question :( help?

**Cindz83** · September 29th 2012, 03:23 AM

solve and show work, help please, i would really really really appreciate it )': test after lunch!

1-x/x+5>=2-x/x+6

**grillage** · September 29th 2012, 03:29 AM

You first need to get a common denominator, such as $\left ( x+5 \right )\left ( x+6 \right )$
Can you go from there?

**Cindz83** · September 29th 2012, 03:36 AM

i tried to get common denominators and added up the numerators, i just became stuck on where to go from there... i guess i just don't understand what the question is asking

and my teacher just says "figure it out"... like thanks... you're TONS OF HELP. and now i'm freaking out :'(

**Plato** · September 29th 2012, 04:03 AM

Originally Posted by Cindz83

solve and show work, help please, i would really really really appreciate it )': test after lunch!
1-x/x+5>=2-x/x+6

Think of the problem as $\frac{1-x}{x+5}-\frac{2-x}{x+6}\ge 0~.$
The LCD is $(x+5)(x+6)~.$

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