Math Problem Statement
Graph the solution set of the inequality, where x is a real number, on the number line. x ≥ 14
Solution
The inequality given is:
This means that can be any number greater than or equal to 14.
To graph this on the number line:
- There should be a solid dot at 14 (because is equal to 14).
- The line should extend to the right (towards greater values) since is also greater than 14.
The correct graph will show a solid dot at 14 with a line extending to the right.
Looking at the options:
- Option D shows the correct graph: a solid dot at 14 and the arrow going to the right, indicating values greater than or equal to 14.
So, the correct answer is Option D.
If you have more questions or need further clarification, feel free to ask!
Here are some related questions you might find useful:
- How would the graph change if the inequality was ?
- What would the graph look like for ?
- How would you represent on the number line?
- Can be a fraction in the solution for ?
- How do you represent only on a number line?
Tip: Always use a solid dot for "greater than or equal to" () or "less than or equal to" (), and an open circle for strict inequalities ( or ).
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Inequalities
Number Line Representation
Formulas
-
Theorems
Inequality Representation Theorem
Suitable Grade Level
Grades 6-8