Math Problem Statement

Graph the compound inequality −14 < x < −9

Solution

The compound inequality presented is:

14<x<9-14 < x < -9

Steps to graph the inequality:

  1. End Points: The inequality is strict, meaning the endpoints 14-14 and 9-9 are not included. Therefore, both will have open circles on the number line.

  2. Shading: Since the inequality is between 14-14 and 9-9, the region between these points will be shaded.

How the graph will look on the number line:

  • Place an open circle at 14-14.
  • Place another open circle at 9-9.
  • Shade the portion of the number line between 14-14 and 9-9.

This graph shows that xx is any number greater than 14-14

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Number Line

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8