Question

Translate the following set builder notation into words. x < 5

A. The set of all elements X such that X is less than 5.
B. The set of all elements X such that X is greater than 5.
C. The set of all elements X equal to 5.
D. The set of all elements X such that X is not less than 5.

Answer 1

The set notation X translates to 'The set of all elements X such that X is less than 5,' which includes all numbers smaller than 5.

Step-by-step explanation:

The set builder notation X describes a set of numbers. In this notation, 'X' is a placeholder for any element in the set, and the '|' symbol can be read as 'such that.' The inequality 'x < 5' tells us the condition elements in the set must meet. So, the correct translation of this set builder notation into words would be option A:

'The set of all elements X such that X is less than 5.' This means we are looking at a set that includes every number that is smaller than 5, without actually listing those numbers.