Write the following set in roster form and in set-builder notation.
M is the set of integers that are greater than or equal to −3 and less than or equal to 0.
Roster form: M = {-3, -2, -1, 0}
Set-builder notation: M = {x | -3 ≤ x ≤ 0, x ∈ Z}
To represent the set M in roster form, we need to list all the integers that satisfy the given condition. In this case, the set includes the integers -3, -2, -1, and 0.
M = {-3, -2, -1, 0}
Now, let's represent the set M in set-builder notation. In set-builder notation, we use a variable to define the elements of the set and specify the conditions that the elements must meet.
M = {x : x is an integer, -3 ≤ x ≤ 0}
In roster form, the set M can be written as: {-3, -2, -1, 0}.
In set-builder notation, the set M can be written as: M = {x | -3 ≤ x ≤ 0, x ∈ Z}.