Question

解不等式：x+1/x+2+x+8/x+9>x+2/x+3+x+7/x+8

Answer 1

x+1/x+2+x+8/x+9>x+2/x+3+x+7/x+8

x+1/x+2-x+2/x+3>x+7/x+8-x+8/x+9

(x+1)(x+3)-(x+2)^2/(x+2)(x+3)>(x+7)(x+9)-(x+8)^2/(x+8)(x+9)

x^2+4x+3-x^2-4x-4/(x+2)(x+3)>x^2+16x+63-x^2-16x-64/(x+8)(x+9)

-1/(x+2)(x+3)>-1/(x+8)(x+9)

(x+2)(x+3)-11/2