(x+1)/(x-2)>= 0
Let's solve in ℝ: x + 1x -2 >= 0
Let's solve in ℝ: x + 1 >= 0
Solution obtained: x >= -1
Let's solve in ℝ: x -2 > 0
Solution found: x > 2
Let's create the table of the different solutions to find the overall solution:
x-∞ -1 2 +∞
x + 1-0++
x -2--×+
x + 1x -2+0-×+
▶Solution found: x ∈ (-∞, -1] ∪ (2, +∞)