Write the following set in roster form and in set-builder notation. P is the set of integers that are greater than or equal to -3 and less than or equal to 0. Write the set in roster form. P = {__}
(Use a comma to separate answers as needed.)
Roster form: P = {-3, -2, -1, 0}
Set-builder notation: P = {x | x ≤ 0, x ≥ -3}
In roster form, the set P can be written as:
P = {-3, -2, -1, 0}
In set-builder notation, the set P can be written as:
P = {x | -3 ≤ x ≤ 0}
To write the set in roster form, we need to list all the elements that satisfy the given condition.
The condition states that the set P is comprised of integers that are greater than or equal to -3 and less than or equal to 0.
The integers that satisfy this condition are -3, -2, -1, and 0. Therefore, we can write the set P in roster form as:
P = {-3, -2, -1, 0}
Now, let's write the set in set-builder notation.
In set-builder notation, we represent the set using a description or rule that specifies the properties or conditions a number needs to satisfy in order to be part of the set.
The set-builder notation for set P can be written as:
P = {x | x is an integer, -3 ≤ x ≤ 0}