Math Problem Statement

inequality notation interval notation

inequality notation interval notation

Solution

The image shows a number line representing an interval. Based on the visual information, there is a filled blue dot at x=2x = 2 and an open circle at x=3x = 3, with a line connecting the two points.

Interpretation:

  • The filled dot at x=2x = 2 indicates that 22 is included in the interval.
  • The open circle at x=3x = 3 shows that 33 is not included in the interval.

Notations:

  1. Inequality Notation: 2x<32 \leq x < 3 This means that xx is greater than or equal to 22 and less than 33.

  2. Interval Notation: [2,3)[2, 3) The square bracket "[" indicates that 22 is included, and the parenthesis ")" indicates that 33 is not included.

Would you like further details or have any specific questions?

Here are 5 related questions to explore further:

  1. How do you write inequalities for intervals that extend infinitely?
  2. What is the difference between open and closed intervals in mathematics?
  3. How do you express compound inequalities involving "or" or "and"?
  4. What does a number line look like for a union of two intervals?
  5. How do you graph inequalities involving absolute value on a number line?

Tip: Always pay attention to whether an interval includes or excludes its endpoints when interpreting inequalities or interval notation!

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Math Problem Analysis

Mathematical Concepts

Inequalities
Interval Notation

Formulas

-

Theorems

Concept of closed and open intervals

Suitable Grade Level

Grades 6-8