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Answer
To graph the interval
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
on a number line, follow these steps:
-
Identify the endpoints: The interval
has two endpoints: -8 and -3. Since the interval is open (indicated by the parentheses), the endpoints themselves are not included in the interval. -
Draw the number line: Start by drawing a horizontal line. Mark points on this line for -8 and -3.
-
Indicate the endpoints: Use open circles at -8 and -3 to show that these points are not included in the interval.
-
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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Mind Expander
To graph the interval
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!