Maths-
General
Easy
Question
The roster form of the set A = {x : x N, x < 8} is
- A = {1, 2, 3, 4, 5, 6, 7}
- A = {1, 8}
- A = {1, 2, 8}
- A = {3, 4, 8}
Hint:
We are given a set builder form of a set A. We have to find the roster form or in other words elements of the set A in a curly bracket.
The correct answer is: A = {1, 2, 3, 4, 5, 6, 7}
The given set is
A = { x : x ∈ N, x < 8}
We have to write the given set in roster form. It means we have to write all the elements in the set A.
The above set shows two conditions on x.
The first one x ∈ N means x belongs to the set of natural numbers. The natural numbers start from 1 to positive infinity.
The second condition is x < 8. It means x should be less than 8.
The numbers which are less than 8 and belong to set of natural numbers are
1, 2, 3, 4, 5, 6, 7
So, the roster form of the set will be
A = { 1, 2, 3, 4, 5, 6, 7 }
Roster form gives us list of all elements of the sets. Set builder form gives the details of the set in compact form.
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