Let A = { -6, - 12/4 , - 5/8 , - √3, 0, 1/4 , 1, 2π, 3, √12}. List all the elements of A that belong to each set. Integers
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Sets
A set is a collection of distinct objects, considered as an object in its own right. In this context, the set A contains various numbers, and we are interested in identifying which of these numbers belong to a specific category, namely integers. Understanding how to define and work with sets is crucial for solving problems that involve classifying elements.
Integers are whole numbers that can be positive, negative, or zero, but do not include fractions or decimals. Examples of integers are -3, 0, and 5. In the given question, identifying which elements of set A are integers requires recognizing that only whole numbers fit this definition, which is essential for accurately listing the elements that belong to the integer set.
The classification of numbers involves categorizing them into different types based on their properties. Common classifications include natural numbers, whole numbers, integers, rational numbers, and irrational numbers. In this question, understanding how to classify the elements of set A helps in determining which numbers are integers, thereby facilitating the correct identification of the required elements.