Math Problem Statement
Graph the set \( \{x \mid x \geq 5\} \) on the number line. Then, write the set using interval notation.
Solution
For the given problem , you need to represent it on the number line and write it in interval notation.
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Graph on the Number Line:
- Since , draw a closed dot (●) at 5 to indicate that 5 is included in the solution.
- Shade the number line to the right of 5 to show all numbers greater than or equal to 5.
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Interval Notation:
- The interval notation for is , where the square bracket [ indicates that 5 is included, and the parenthesis ) indicates that infinity is not included.
You should:
- Place a closed dot at 5 on the number line and shade to the right.
- Input the interval notation in the provided box.
Would you like more details or have any questions about this process? Here are some related questions for further exploration:
- How do you graph on the number line, and what is its interval notation?
- What would be the interval notation for ?
- How can we represent in set-builder notation?
- What is the interval notation for an inequality ?
- How do you handle compound inequalities like in interval notation?
Tip: Remember, closed dots indicate that the number is included in the set, while open dots indicate that it is not.
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Set Notation
Interval Notation
Formulas
None
Theorems
None
Suitable Grade Level
Grades 7-10