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 -2 and less than or equal to 1.
Write the set in roster form. P = {__ }
(Use a comma to separate answers as needed.)
P = {-2, -1, 0, 1}
P = {-2, -1, 0, 1}
The set in roster form is:
P = {-2, -1, 0, 1}
To write the set in roster form, we can list all the integers that satisfy the given conditions.
Since P is the set of integers that are greater than or equal to -2 and less than or equal to 1, the integers that satisfy these conditions are -2, -1, 0, and 1.
Therefore, in roster form, P = {-2, -1, 0, 1}.
Now let's write the set in set-builder notation. In set-builder notation, we describe the properties that the elements of the set must satisfy.
P = {x | -2 ≤ x ≤ 1}
This reads as "P is the set of x such that x is greater than or equal to -2 and less than or equal to 1."
Note that in set-builder notation, we use the vertical bar (|) to separate the variable name from the condition, and the variable name (x in this case) represents the elements of the set.