If a set is defined as {x | x is an integer and 1 ≤ x ≤ 10}, which of the follow
Practice Questions
Q1
If a set is defined as {x | x is an integer and 1 ≤ x ≤ 10}, which of the following is a valid operation on this set?
Adding 5 to each element.
Removing all even numbers.
Doubling each element.
All of the above.
Questions & Step-by-Step Solutions
If a set is defined as {x | x is an integer and 1 ≤ x ≤ 10}, which of the following is a valid operation on this set?
Step 1: Understand the set definition. The set is defined as {x | x is an integer and 1 ≤ x ≤ 10}. This means the set includes all integers from 1 to 10.
Step 2: List the elements of the set. The elements are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
Step 3: Identify the operations that can be performed on the set. Common operations include union, intersection, and set difference.
Step 4: Check if each operation can be applied to the set. Since the set is well-defined and contains integers, all standard set operations can be performed.
Step 5: Conclude that all operations listed can be validly performed on the set.
Set Notation – Understanding how to interpret and work with sets defined by specific conditions.
Integer Properties – Recognizing the properties and operations applicable to integers within a defined range.
Valid Operations on Sets – Identifying which mathematical operations can be performed on a given set.
