Sets and Discrete Mathematics Quiz

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What is a set in discrete mathematics?

A set is defined as a collection of distinct objects of the same type or class of objects, where the objects are called elements or members of the set.

How are sets represented in roster or tabular form?

In roster or tabular form, all the elements of the set are listed within braces { } and separated by commas. For example, if A is the set of all odd numbers less than 10, then in roster form it can be expressed as A={1,3,5,7,9}.

How are sets represented in set builder form?

In set builder form, the properties fulfilled by all the elements of the set are listed. It is noted as {x: x satisfies properties P} and read as 'the set of those entire x such that each x has properties P'.

What is the symbol used to denote an element belonging to a set?

<p>The symbol used to denote an element belonging to a set is '∈', which means 'Element of'.</p> Signup and view all the answers

Provide an example of a set represented in set builder form.

<p>If B={2, 4, 8, 16, 32}, then the set builder representation will be: B={x: x=2n, where n ∈ N and 1≤ n ≥5}.</p> Signup and view all the answers

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