Math Problem Statement
x < 5. Select all of the following values that x could take: 7, 2, 0, 5, -1.
Solution
The inequality given is . This means must take values strictly less than 5.
The provided values are . Let us evaluate each:
- : Not valid because .
- : Valid because .
- : Valid because .
- : Not valid because (equality doesn't satisfy the strict inequality).
- : Valid because .
Valid values for : .
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5 Related Questions:
- How would the solution change if the inequality were ?
- What are the valid values if the condition were ?
- Can you explain the difference between strict inequalities ( and ) and non-strict inequalities ( and )?
- How would the solution be different if negative numbers were not included in the list of possible values?
- What is the meaning of "strictly less than" in practical terms?
Tip:
When working with inequalities, always pay attention to whether the inequality is strict (, ) or inclusive (, ) to avoid small errors.
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Math Problem Analysis
Mathematical Concepts
Inequalities
Comparison of numbers
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8