Question 863594
{{{12/(x+1)+4>30/(x+2)}}}
{{{12/(x+1)-30/(x+2)+4>0}}}
12(x+2)-30(x+1)+4(x+2)(x+1)>0
12x+24-30x-30+4(x^2+3x+2)>0
12x+24-30x-30+4x^2+12x+8)>0
4x^2-6x+2>0
2x^2-3x+1>0
(2x-1)(x-1)>0
number line:
<....+....1/2....-....1...+....>
solution:
(-&#8734;,1/2) U (1, &#8734;)