Intro to Set Builder Notation

Front

What is Set Builder Notation?

Back

A mathematical notation for describing a set by stating the properties that its members must satisfy.

Front

How is the interval notation for -8 ≤ x < 8 expressed?

Back

[-8, 8)

Front

Write the set builder notation for x ≥ -2.

Back

{ x | x ≥ -2 }

Front

What does the notation {x | x ≥ -5} represent?

Back

The set of all x such that x is greater than or equal to -5.

Front

What is the difference between interval notation and set builder notation?

Back

Interval notation uses intervals to represent sets of numbers, while set builder notation describes the properties of the elements in the set.

Front

Express the set of all integers greater than 3 in set builder notation.

Back

{ x | x ∈ Z, x > 3 }

Front

What does the notation {x | -5 ≤ x < ∞} represent?

Back

The set of all x such that x is greater than or equal to -5.

Front

How would you express the set of all real numbers less than 0 in set builder notation?

Back

{ x | x < 0 }

Front

What is the interval notation for the set of all numbers between 1 and 5, including 1 but not 5?

Back

[1, 5)

Front

Write the set builder notation for the set of all positive integers.

Back

{ x | x ∈ Z+, x > 0 }