IXL - Set-builder notation (Algebra 1 practice)

Which is the set of numbers greater than or equal to

–

and less than or equal to

–

{

≥

–

and

≤

–

}

{

≥

–

}

{

–

and

–

}

{

≤

–

and

≥

–

}

ref_doc_title.

Learn with an example

question

What does

| x ≥ –5 and x ≤ 3} represent?

all numbers greater than or equal to

–

and less than or equal to 3

all numbers less than

–

and greater than 3

all numbers greater than or equal to

–

and less than 3

all numbers less than

–

and greater than 3

key idea

A set is a collection of objects called elements.

One way to write a set is in set-builder

notation.

Set-builder notation uses curly braces to define the set. Inside the braces, you define a variable to represent the elements in the set, draw a vertical line, and then list the conditions that define the set.

For example, this is how you write the set of even numbers greater than 2:

{x | x is even and x > 2}

You can read this set like this:

The set of all numbers

such that

is even and

is greater than 2.

solution

{

≥

–

and

≤

}

is the set of all numbers greater than or equal to

–

and less than or equal to 3.

Looking for more? Try these:

Lesson: Compound inequalities

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Teacher tools

Work it out

Not feeling ready yet? These can help:

F.13Write compound inequalities from graphs

F.12Graph compound inequalities

G.1Sets, subsets, and complements

Lesson: Compound inequalities

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