Write the set below in roster form and in set-builder notation.
P is the set of natural numbers that are less than 4.
Roster form: P = {1, 2, 3}
Set-builder notation: P = {x | x is a natural number and x < 4}
To write the set P in roster form, we simply list out all the natural numbers that are less than 4:
P = {0, 1, 2, 3}
Now let's write P in set-builder notation. In set-builder notation, we use a condition or rule to define the elements in the set. In this case, P consists of natural numbers that are less than 4. We can write it as:
P = {x | x is a natural number and x < 4}
In roster form: P = {0, 1, 2, 3}
In set-builder notation: P = {x | x is a natural number and x < 4}
Write the set below in roster form and in set-builder notation.
P is the set of natural numbers that are less than 6.
Roster form: P = {0, 1, 2, 3, 4, 5}
Set-builder notation: P = {x | x is a natural number and x < 6}
Write the set below in roster form and in set-builder notation.
P is the set of natural numbers that are less than 11.
Roster form: P = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Set-builder notation: P = {x | x is a natural number and x < 11}