graph the solution set y greater than - 2

To graph the solution set \( y > -2 \), follow these steps:

1. **Draw the line** \( y = -2 \) as a dashed line because the inequality is strict (does not include \( y = -2 \)).
2. **Shade the region above the line** since we are interested in the area where \( y \) is greater than -2. This corresponds to the values of \( y \) that are above the line.

### Key Details:
- The dashed line represents all points where \( y = -2 \).
- The shading above the line represents the solution set \( y > -2 \), which includes all points above the dashed line.

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Here are 5 related questions you might find interesting:
1. How do you graph inequalities involving both \( x \) and \( y \)?
2. What changes if the inequality was \( y \geq -2 \) instead?
3. How do you solve inequalities with absolute values?
4. What happens if you reverse the inequality to \( y < -2 \)?
5. How do you graph compound inequalities?

**Tip**: When graphing inequalities, always use a dashed line for strict inequalities \( (< \) or \( > ) \) and a solid line for inclusive inequalities \( (\leq \) or \( \geq ) \).

Learn how to graph the inequality y > -2 by drawing the boundary line y = -2 and shading the region above it. This concept is fundamental in understanding linear inequalities and is suitable for students in Grades 6-8.

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