Math Problem Statement

Write a compound inequality that is represented by the graph.

A number line extended from 5 to 15. The number line is shaded between an open circle at 7 and an open circle at 14.

Solution

The graph shows shading between the numbers 7 and 14, with open circles at both 7 and 14. This indicates that the inequality does not include 7 or 14, but includes all numbers between them.

The compound inequality is:

7<x<147 < x < 14

This means xx is greater than 7 and less than 14.

Would you like more details or have any other questions?

Here are 5 related questions:

  1. How would the inequality change if there were closed circles at 7 and 14?
  2. Can you graph the inequality 5x105 \leq x \leq 10 on a number line?
  3. What is the solution to the compound inequality 3<x93 < x \leq 9?
  4. How would you express the inequality if the graph was shaded outside 7 and 14 instead?
  5. How do you solve a system of compound inequalities?

Tip: Always pay attention to whether circles on a number line are open (indicating strict inequalities) or closed (indicating inclusive inequalities).

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Number Line Representation

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8