Question

Translate the following set builder notation into words. X

A. The set of all X where X is less than 5.
B. The set of all X greater than 5.
C. The set of all X equal to 5.
D. The set of all X where X is greater than or equal to 5.

Answer 1

The set builder notation x < 5 translates to 'The set of all X where X is less than 5', indicating a set containing all numbers less than 5.

Step-by-step explanation:

The set builder notation x < 5 translates into words as option A: 'The set of all X where X is less than 5'. In this notation, 'X' is a variable that can represent any number, and the condition specified is 'x < 5', which means that the set includes all numbers that are less than 5. The vertical bar '|' is used to separate the variable from the condition in set builder notation, and in this case, it signifies that the set consists of all the numbers that satisfy this condition.