Sketch the regions satisfying the following inequalities:
(a) `x gt 2`
(b) `|y| ge 1`

Explanation

To sketch the regions satisfying the given inequalities, we will follow these steps:

### Step 1: Sketch the line for the inequality \( x > 2 \)

1. **Draw the coordinate axes**: Start by drawing the x-axis and y-axis on a graph.
2. **Identify the line \( x = 2 \)**: This is a vertical line that intersects the x-axis at the point (2, 0).
3. **Draw the line**: Draw a dashed vertical line at \( x = 2 \). The dashed line indicates that the line itself is not included in the solution (since the inequality is strict: \( x > 2 \)).
4. **Shade the region**: Shade the region to the right of the line \( x = 2 \). This represents all values of \( x \) that are greater than 2.
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