What is a degenerate interval?
Algebra 08 - Unions of Intervals

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Mathematics, Information Technology (IT), Architecture
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
An interval with no endpoints
An interval that contains only one point
An interval that contains all real numbers
An interval that is unbounded on both ends
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which property is essential for a set to be considered an interval?
It must be finite
Any number between two numbers in the set must also be included
It must include all integers
It must be bounded
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't the set {0, 2} excluding 1 be represented by a single interval?
Because it is a proper interval
Because it is a degenerate interval
Because it does not include all numbers between 0 and 2
Because it is unbounded
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the set of all real numbers except 0 be represented using interval notation?
By using a single closed interval
By using a single open interval
By using a degenerate interval
By taking the union of two unbounded intervals
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is true about proper intervals?
They contain only one point
They are always bounded
They contain an infinite number of points
They are always unbounded
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the number line represent in the context of intervals?
A set of integers
A set of complex numbers
A one-dimensional space representing real numbers
A two-dimensional space
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What will be discussed in the next lecture?
Complex number intervals
Advanced set theory
Mathematical objects in two or more dimensions
Intervals in three-dimensional space
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