Question
Graph the following interval on a number line. \( (-8,-3) \)
Ask by Todd Maxwell. in Saudi Arabia
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
To graph the interval \( (-8, -3) \) on a number line, draw a horizontal line, place open circles at -8 and -3, and shade the area between them.
Solution
To graph the interval \( (-8, -3) \) on a number line, follow these steps:
1. **Identify the endpoints**: The interval \( (-8, -3) \) has two endpoints: -8 and -3. Since the interval is open (indicated by the parentheses), the endpoints themselves are not included in the interval.
2. **Draw the number line**: Start by drawing a horizontal line. Mark points on this line for -8 and -3.
3. **Indicate the endpoints**: Use open circles at -8 and -3 to show that these points are not included in the interval.
4. **Shade the region**: Shade the area between -8 and -3 to indicate that all numbers between these two points are included in the interval.
The final representation will show an open interval between -8 and -3 on the number line, with open circles at both -8 and -3.
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Simplify this solution Mind Expander
To graph the interval \( (-8,-3) \) on a number line, start by drawing a horizontal line and marking evenly spaced points on it. Place an open circle around -8 and -3 to indicate that these endpoints are not included in the interval. Then, shade the region between -8 and -3 to show all the values that are part of the interval. Think of this interval like a "no-entry zone" between two numbers where -8 and -3 are the boundaries! Any number between these two values is welcome to join the party, but the parties at -8 and -3 themselves are closed, hence the open circles!
