To solve the problem, we need to analyze each number line and determine the corresponding interval notation. Let's go through each number line step by step.
Number Line 1:
- The number line shows an open circle at 1 and a closed circle at 2.
- This means the interval includes all numbers greater than 1 and less than or equal to 2.
- In interval notation, this is written as: \((1, 2]\).
Number Line 2:
- The number line shows a closed circle at 1 and an open circle at 2.
- This means the interval includes all numbers greater than or equal to 1 and less than 2.
- In interval notation, this is written as: \([1, 2)\).
Number Line 3:
- The number line shows a closed circle at 1 and a closed circle at 2.
- This means the interval includes all numbers greater than or equal to 1 and less than or equal to 2.
- In interval notation, this is written as: \([1, 2]\).
Number Line 4:
- The number line shows an open circle at 1 and extends infinitely to the right.
- This means the interval includes all numbers greater than 1.
- In interval notation, this is written as: \((1, \infty)\).
Number Line 5:
- The number line shows a closed circle at 1 and extends infinitely to the right.
- This means the interval includes all numbers greater than or equal to 1.
- In interval notation, this is written as: \([1, \infty)\).
Number Line 6:
- The number line shows an open circle at 2 and extends infinitely to the left.
- This means the interval includes all numbers less than 2.
- In interval notation, this is written as: \((-\infty, 2)\).
Number Line 7:
- The number line shows a closed circle at 2 and extends infinitely to the left.
- This means the interval includes all numbers less than or equal to 2.
- In interval notation, this is written as: \((-\infty, 2]\).
Number Line 8:
- The number line shows arrows extending infinitely in both directions.
- This means the interval includes all real numbers.
- In interval notation, this is written as: \((-\infty, \infty)\).
Final Answer:
The intervals corresponding to each number line are:
1. \((1, 2]\)
2. \([1, 2)\)
3. \([1, 2]\)
4. \((1, \infty)\)
5. \([1, \infty)\)
6. \((-\infty, 2)\)
7. \((-\infty, 2]\)
8. \((-\infty, \infty)\)
Thus, the final answer is:
\[
\boxed{(1, 2], [1, 2), [1, 2], (1, \infty), [1, \infty), (-\infty, 2), (-\infty, 2], (-\infty, \infty)}
\]
Parent Tip: Review the logic above to help your child master the concept of interval notation worksheet.
