Represent the following inequations graphically in two dimensional plane and hence solve them:
(i) `ylt-2`
(ii) `ylt2`
(iii) `yge2`.

Answer

To solve the given inequations graphically in a two-dimensional plane, we will represent each inequation on a coordinate system and identify the solution sets. Let's go through each inequation step by step.

### Step 1: Graph the inequation \( y < -2 \)

1. **Draw the coordinate axes**: Start by drawing the x-axis and y-axis on a graph.
2. **Identify the line**: The line for the equation \( y = -2 \) is a horizontal line that crosses the y-axis at the point (0, -2).
3. **Draw the line**: Since the inequation is strict (less than), we will draw a dashed line at \( y = -2 \) to indicate that points on the line are not included in the solution.
4. **Shade the region**: Shade the area below the line \( y = -2 \) because we are looking for values of y that are less than -2.

**Solution Set**: The solution set for \( y < -2 \) consists of all points below the dashed line.