Math Problem Statement

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Express the interval shown on the number line in interval notation.

Solution

The number line provided shows an interval from 6-6 to 00. There is an open circle at 6-6, meaning 6-6 is not included in the interval, and a closed circle at 00, meaning 00 is included.

In interval notation, this is written as: (6,0](-6, 0] This represents all the numbers greater than 6-6 and less than or equal to 00.

Would you like further explanation or have any questions?

Here are 5 related questions to practice:

  1. How would you write the interval if both 6-6 and 00 were included?
  2. How is a closed circle different from an open circle in interval notation?
  3. What would the interval notation be if the open circle were at 00 and the closed circle at 6-6?
  4. How do you express an interval where both endpoints are excluded?
  5. How would you write the interval if it extended to infinity?

Tip: In interval notation, use parentheses ()( ) for values not included and brackets [][ ] for values included.

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Math Problem Analysis

Mathematical Concepts

Interval Notation
Number Line
Inequalities

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8