Are you finding it hard to interpret the set-builder notations of a given set in your mathematics exam?

In this lesson,

You will learn the set-builder notations and their meaning with how to interpret a set-builder notation in mathematics.

### ALSO SEE: How To Solve Sets With Venn Diagram

## Set builder notations and their meaning

- > means
*‘greater than’* - ≥ means
*‘greater than or equal to’* - < means
*‘less than’* - ≤ means
*‘less than or equal to’* - : means
*‘such that’*

## Interpreting set-builder notations

Let’s take an example.

QUESTION:

List the elements in the set

A = {x : -2 ≤ x < 4}.

The set-builder notation above is interpreted as *“ A is a set of elements (x) such that the elements (x) is less than or equal to -2 and less than 4.“*

In other words,

The list of elements in set (A) will be from -2 to the number closest to 4 (but not 4).

INTERPRETATION:

Set A = {x : -2 ≤ x < 4}

= {-2, -1, 0, 1, 2, 3}.

## Test yourself

Click on the link below to practice real past questions on Sets from different Mathematics exam.

GOOD LUCK.

Do you have something to ask on this set-builder notation? Comment below and a staff or fellow Topper will reply you.

Let others know
HappyStraight forward explanation

Sam OnuegbuThank you

Sam OnuegbuGreat