Write the set below in roster form and in set-builder notation. P is the set of natural numbers that are less than 4.
Express the set P in roster form.
p = _ (Use ascending order.)
In roster form, the set P would be written as:
P = {1, 2, 3}
In set-builder notation, the set P would be written as:
P = {x | x is a natural number and x < 4}
The set P, which consists of natural numbers less than 4, can be expressed in roster form as:
P = {0, 1, 2, 3}
In set-builder notation, P can be expressed as:
P = {x | x is a natural number and x < 4}
To express the set P in roster form, we need to list all the natural numbers that are less than 4. In this case, the set P consists of the natural numbers 1, 2, and 3.
So, the roster form of the set P is: P = {1, 2, 3}.
Now, let's express the set P in set-builder notation:
Set-builder notation for P: P = {x | x is a natural number and x < 4}.
In this notation, we use the variable "x" to represent any element in the set, and the vertical bar "|" to mean "such that". The condition "x is a natural number and x < 4" is stated after the vertical bar. This condition specifies that we are looking for natural numbers that are less than 4.
Therefore, the set-builder notation for P is: P = {x | x is a natural number and x < 4}.