Write the set below in roster form and in set-builder notation. P is the set of natural numbers that are less than 9
Roster form: P = {1, 2, 3, 4, 5, 6, 7, 8}
Set-builder notation: P = {x | x is a natural number and x < 9}
The set P, which consists of natural numbers less than 9, can be written in roster form as:
P = {1, 2, 3, 4, 5, 6, 7, 8}
In set-builder notation, it can be expressed as:
P = {x | x is a natural number and x < 9}
To write the set P in roster form, we include all the natural numbers less than 9. Since natural numbers start from 1 and go up to infinity, we need to include all the natural numbers from 1 to 8. Therefore, P can be written in roster form as:
P = {1, 2, 3, 4, 5, 6, 7, 8}
In set-builder notation, we express the properties that the elements of the set satisfy. In this case, P is the set of natural numbers x that are less than 9. We can represent this as:
P = {x | x is a natural number and x < 9}