Math Problem Statement
WHAT IS THE SET OF {x E R| -5 <x< 1
Solution
The set represents all real numbers that are greater than and less than .
In interval notation, this set is written as:
This indicates that can take any value within the interval starting just above and ending just below , but does not include and themselves.
Would you like to see any details or have any questions?
Here are 5 related questions you might consider:
- What would the interval be if were inclusive of and ?
- How would the set change if it were defined for integers instead of real numbers?
- What is the midpoint of the interval ?
- How would the interval change if it were ?
- How do you express the interval in set-builder notation?
Tip: When writing intervals, remember that parentheses and indicate that the endpoints are not included in the set, while brackets and indicate that they are included.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Real Numbers
Inequalities
Interval Notation
Formulas
Interval Notation: (a, b) represents all real numbers between a and b where endpoints are excluded.
Theorems
Basic Set Theory: The concept of open intervals and real number sets.
Suitable Grade Level
Grades 9-12
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