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 (5, 20) expressed in set-builder notation?

Back

{ x | 5 < x < 20 }

Front

What does the notation { x | x < -3 or x ≥ 7 } represent in interval notation?

Back

(-∞, -3) ∪ [7, ∞)

Front

How do you express y > 10 in set-builder notation?

Back

{ y | y > 10 }

Front

What is the set-builder notation for the interval [3, 5]?

Back

{ x | 3 ≤ x ≤ 5 }

Front

How is the interval [2, 12) expressed in set-builder notation?

Back

{ x | 2 ≤ x < 12 }

Front

What does the symbol '∪' represent in set notation?

Back

It represents the union of two sets, combining all elements from both sets.

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include endpoints (e.g., (a, b)), while closed intervals do (e.g., [a, b]).

Front

How would you express the set of all integers greater than 0 in set-builder notation?

Back

{ x | x is an integer and x > 0 }

Front

What is the interval notation for the set { x | x ≤ 4 }?

Back

(-∞, 4]