Write each set in roster form and in set-builder notation. is the set of even natural numbers that are less than 2.
Roster form: {0, 2}
Set-builder notation: {x∈N | x<2 and x is even} where N is the set of natural numbers.
Write each set in roster form and in set-builder notation. R is the set of even natural numbers that are less than 2.
Write the solutions of each inequality in set-builder notation. 5r + 8 < 63
To write the set of even natural numbers that are less than 2 in roster form, we need to list out all the elements of the set. In this case, there are no even natural numbers less than 2 because the smallest even natural number is 2. Therefore, the roster form of the set will be an empty set {}.
In set-builder notation, we can represent the set as follows:
{x | x is an even natural number and x < 2}
In this case, the condition "x is an even natural number" ensures that all the elements in the set are even, and "x < 2" ensures that the elements are less than 2. However, since there are no even natural numbers less than 2, the set will still be an empty set in set-builder notation: {} or {x | x is an even natural number and x < 2}.