Math Problem Statement

interval notation & the inequality notation to this line

Solution

The new image you uploaded shows a number line with the interval highlighted between 22 and 66, but with open circles at both endpoints, indicating that 22 and 66 are not included in the interval.

Representations:

  1. Interval Notation: Since the interval excludes both endpoints, it is written as: (2,6)(2, 6)

  2. Inequality Notation: This can be expressed as: 2<x<62 < x < 6

Final Answer:

  • Interval Notation: (2,6)(2, 6)
  • Inequality Notation: 2<x<62 < x < 6

Would you like more details or have any questions?

Here are five related questions to further explore this topic:

  1. How would the interval change if the circles at 2 and 6 were filled instead?
  2. What is the inequality notation for an interval starting from 0 (inclusive) to 5 (exclusive)?
  3. How do you express the interval from -\infty to 3 (exclusive) using interval notation?
  4. Can you represent an interval that includes one endpoint and excludes the other? How?
  5. What does it mean when both endpoints in an interval are included on the number line?

Tip: Always double-check whether endpoints are included (closed intervals) or excluded (open intervals) when interpreting a number line.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Interval Notation
Inequality Notation

Formulas

-

Theorems

-

Suitable Grade Level

Grades 7-9