Question

Represent to solution set of each of the following inequations graphically in two dimensional plane: 

 x + 2 ≥ 0 

Answer 1

Converting the inequation to equation, we obtain x + 2 = 0, i.e x = \[-\] Clearly, it is a parallel line to y-axis at a distance of \[-\]2 units from it. This line divides the xy plane into two parts, viz LHS  of x =\[-\] 2 and RHS of x = \[-\] 2. To determine the region represented by the given inequality, consider point O(0,0). Clearly, (0,0)  does not satisfy the inequality. So, the region that does not contain the origin is represented by the given inequality.
Hence, the shaded region is the solution to the inequation.