InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Solve `(2)/(x^2-x+1)-(1)/(x+1)-(2x-1)/(x^3+1) ge 0.` |
|
Answer» `(2)/(x^2-x+1)-(1)/(x+1)-(2x-1)/(x^3+1) ge 0.` `(2(x+1)-(x^2-x+1)-(2x-))/((x+1)(x^2-x+1))ge 0 ` ` or -((x^2-x-2))/((x+1)(x^2-x+1)) ge 0 ` `(-(x-2)(x+1))/((x+1)(x^2-x+1))ge0` `or (2-x)/(x^2-x+1) ge 0 where x d ne -1` `or 2- x ge 0, x ne -1 " " (as x^2-x+1 gt 0 for AA x in R)` `rArr x le 2 , x ne -1 ` |
|