Write the following set in roster form and in set-builder notation.
P is the set of integers that are greater than -1 and less than or equal to 3 .
Roster form: P = {-1, 0, 1, 2, 3}
Set-builder notation: P = {x | -1 < x ≤ 3}
Roster form: P = {-1, 0, 1, 2, 3}
Set-builder notation: P = {x | x > -1 and x ≤ 3}
To write the set in roster form, we list all the integers that are greater than -1 and less than or equal to 3.
P = {-1, 0, 1, 2, 3}
To write the set in set-builder notation, we use the conditions that define the set.
P = {x | -1 < x ≤ 3}
In set-builder notation, the variable x represents an integer, and the condition -1 < x ≤ 3 specifies that x must be greater than -1 and less than or equal to 3.