Write the set below in roster form and in set-builder notation. P is the set of natural numbers that are less than 11.
Express the set P in roster form. P = _
(Use ascending order.)
P = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
In roster form, the set P can be expressed as:
P = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
And in set-builder notation, the set P can be expressed as:
P = {x | x is a natural number and x < 11}
To express the set P in roster form, we need to list out all the natural numbers that are less than 11.
P = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Now let's express the set P in set-builder notation.
In set-builder notation, we specify the characteristics that define the set. In this case, we want to express the set of natural numbers less than 11.
P = {x | x is a natural number, x < 11}
Here, the vertical bar "|" is read as "such that," and the condition after it describes the properties that the elements of the set must satisfy. In this case, any element x in the set P must be a natural number and be less than 11.