Math Problem Statement
The number line below shows information about a variable, p. Select all of the following values that p could take: 3, 9, 4, 0, 1, 5.
Solution
The number line in the image shows that the variable can take values less than 4. This includes all values from 0 up to (but not including) 4.
The given possible values are: .
We can now determine which of these values fall in the range :
- : Yes,
- : No,
- : No, must be strictly less than 4
- : Yes,
- : Yes,
- : No,
Therefore, the possible values that could take are: 0, 1, and 3.
Would you like further clarification on any part of this solution?
Here are five related questions you might find interesting:
- How can you represent inequalities on a number line?
- What does an open circle on a number line mean compared to a closed circle?
- How would the answer change if the inequality were ?
- How can inequalities be used in real-world problems?
- What is the difference between strict inequalities and non-strict inequalities?
Tip: Always pay attention to whether a number line uses an open or closed circle. An open circle means the value is not included in the solution set.
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Math Problem Analysis
Mathematical Concepts
Inequalities
Number Line Representation
Formulas
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Theorems
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Suitable Grade Level
Grades 4-6