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:
This means is greater than 7 and less than 14.
Would you like more details or have any other questions?
Here are 5 related questions:
- How would the inequality change if there were closed circles at 7 and 14?
- Can you graph the inequality on a number line?
- What is the solution to the compound inequality ?
- How would you express the inequality if the graph was shaded outside 7 and 14 instead?
- 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