The image contains a mathematical expression written vertically on lined paper. The expression is: \[ 5 - \left( \{x | x \leq -3\} \cup \{x | x < 5\} \right) \] This expression involves a set operation and describes a union of two sets of numbers. - The first set is denoted as \(\{x | x \leq -3\}\), which represents all real numbers \(x\) that are less than or equal to \(-3\). - The second set is denoted as \(\{x | x < 5\}\), which includes all real numbers \(x\) that are less than \(5\). The union symbol \(\cup\) indicates that the resultant set includes any number that is in either or both of these sets. The expression also begins with the number \(5\) minus the union of the two sets, suggesting further operations or simplifications might follow. For educational clarity, students might be asked to interpret this expression, understanding the role of equality and inequality, and set unions.
The image contains a mathematical expression written vertically on lined paper. The expression is: \[ 5 - \left( \{x | x \leq -3\} \cup \{x | x < 5\} \right) \] This expression involves a set operation and describes a union of two sets of numbers. - The first set is denoted as \(\{x | x \leq -3\}\), which represents all real numbers \(x\) that are less than or equal to \(-3\). - The second set is denoted as \(\{x | x < 5\}\), which includes all real numbers \(x\) that are less than \(5\). The union symbol \(\cup\) indicates that the resultant set includes any number that is in either or both of these sets. The expression also begins with the number \(5\) minus the union of the two sets, suggesting further operations or simplifications might follow. For educational clarity, students might be asked to interpret this expression, understanding the role of equality and inequality, and set unions.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Set notation
![The image contains a mathematical expression written vertically on lined paper. The expression is:
\[
5 - \left( \{x | x \leq -3\} \cup \{x | x < 5\} \right)
\]
This expression involves a set operation and describes a union of two sets of numbers.
- The first set is denoted as \(\{x | x \leq -3\}\), which represents all real numbers \(x\) that are less than or equal to \(-3\).
- The second set is denoted as \(\{x | x < 5\}\), which includes all real numbers \(x\) that are less than \(5\).
The union symbol \(\cup\) indicates that the resultant set includes any number that is in either or both of these sets. The expression also begins with the number \(5\) minus the union of the two sets, suggesting further operations or simplifications might follow.
For educational clarity, students might be asked to interpret this expression, understanding the role of equality and inequality, and set unions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F028128fd-b27f-44d7-985e-59cd58409734%2F1112063a-9c1e-4306-9fb4-51b5b96c4295%2F21eepi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains a mathematical expression written vertically on lined paper. The expression is:
\[
5 - \left( \{x | x \leq -3\} \cup \{x | x < 5\} \right)
\]
This expression involves a set operation and describes a union of two sets of numbers.
- The first set is denoted as \(\{x | x \leq -3\}\), which represents all real numbers \(x\) that are less than or equal to \(-3\).
- The second set is denoted as \(\{x | x < 5\}\), which includes all real numbers \(x\) that are less than \(5\).
The union symbol \(\cup\) indicates that the resultant set includes any number that is in either or both of these sets. The expression also begins with the number \(5\) minus the union of the two sets, suggesting further operations or simplifications might follow.
For educational clarity, students might be asked to interpret this expression, understanding the role of equality and inequality, and set unions.
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