Determine whether each statement is true or false. 6 ∈ {2, 5, 8, 9}
Verified Solution
This video solution was recommended by our tutors as helpful for the problem above
Video duration:
40s
Play a video:
Was this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Set Notation
Set notation is a mathematical way to describe a collection of distinct objects, known as elements. In this context, the notation {2, 5, 8, 9} represents a set containing the numbers 2, 5, 8, and 9. Understanding set notation is crucial for determining whether a specific element belongs to a set.
Element membership refers to the relationship between an element and a set, denoted by the symbol '∈'. If an element is part of a set, we say it is a member of that set. For example, in the statement 6 ∈ {2, 5, 8, 9}, we are checking if 6 is a member of the specified set.
True or false statements are assertions that can be evaluated as either true or false based on logical reasoning or definitions. In this case, determining the truth value of the statement 6 ∈ {2, 5, 8, 9} involves checking if the number 6 is included in the set, which is essential for answering the question accurately.