Write the set below in roster form and in set-builder notation. P is the set of natural numbers that are less than 11
Express the set P in roster form. P = (Use ascending order.)
Roster form: P = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Set-builder notation: P = {x ∈ N | x < 11}
In roster form, the set P can be written as:
P = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Now let's express the set P in set-builder notation:
P = {x | x is a natural number, x < 11}
To express the set P in roster form, we need to list all the natural numbers that are less than 11 in ascending order.
P = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Now, let's express the set P in set-builder notation.
Set-builder notation is a concise way to define a set by stating its properties or characteristics.
P = {x | x is a natural number and x < 11}
In this notation, the symbol "|" can be read as "such that." So, we read the set P as "the set of x such that x is a natural number and x is less than 11."