Question

Define a set S using the set-builder method that consists of all positive integers less than 10.

a) S=1,2,3,4,5,6,7,8,9
b) S=1,2,3,4,5,6,7,8
c) S=0,1,2,3,4,5,6,7,8,9
d) S=0,1,2,3,4,5,6,7,8

Answer 1

The set S defined using the set-builder method, consisting of all positive integers less than 10, is expressed as {1, 2, 3, 4, 5, 6, 7, 8, 9} and is represented by choice (a).

Step-by-step explanation:

To define a set S using the set-builder method that consists of all positive integers less than 10, we use a specific mathematical notation. We can express it as S = x .

This notation reads as "S is the set of all x such that x is a positive integer and x is less than 10." Therefore, the elements of S are {1, 2, 3, 4, 5, 6, 7, 8, 9}, which corresponds to answer choice (a).