(x+3)/(x-2)>= 0
Let's solve in ℝ: x + 3x -2 >= 0
Let's solve in ℝ: x + 3 >= 0
Solution obtained: x >= -3
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-∞ -3 2 +∞
x + 3-0++
x -2--×+
x + 3x -2+0-×+
▶Solution obtained: x ∈ (-∞, -3] ∪ (2, +∞)