Write the set below in roster form and in set-builder notation.
P is the set of natural numbers that are less than 4 .
In roster form: P = {1, 2, 3}
In set-builder notation: P = {x | x is a natural number and x < 4}
To write the set P, which represents the set of natural numbers that are less than 4, in roster form, we list out all the elements that belong to the set:
P = {0, 1, 2, 3}
Now, let's write the set P in set-builder notation. In set-builder notation, we express the elements of the set by defining the properties or conditions that the elements must satisfy.
P = {x | x is a natural number and x < 4}
In this case, "x" represents the elements of the set, "|" denotes "such that," and the condition after the "|" specifies the properties or conditions that the elements must meet. In this set-builder notation, we are saying that the element "x" belongs to the set P if it is a natural number and is less than 4.
The set P, which represents the set of natural numbers less than 4, can be written in roster form as:
P = {0, 1, 2, 3}
In set-builder notation, it can be written as:
P = {x | x is a natural number and x < 4}