Math Problem Statement

Does the graph of $-4\le x\le4$ on a number line represent a segment, ray, point¸ or line? Responses

point point

ray ray

segment segment

line

Solution

The graph of 4x4-4 \leq x \leq 4 on a number line represents a segment. This is because it includes all values of xx between -4 and 4, and both endpoints, -4 and 4, are included (since the inequalities are "less than or equal to"). A segment is a part of a line that has two definite endpoints.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you graph inequalities on a number line?
  2. What is the difference between a ray and a line segment?
  3. How would the graph of x>4x > -4 look on a number line?
  4. Can a point ever represent an interval on a number line?
  5. What is the significance of open versus closed intervals in graphs?

Tip: A line segment has two fixed endpoints, while a ray has only one endpoint and extends infinitely in one direction.

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Math Problem Analysis

Mathematical Concepts

Inequalities
Number Line
Line Segment

Formulas

-

Theorems

Concept of a line segment, which has two definite endpoints

Suitable Grade Level

Grades 6-8