Inequalities, Set Builder Notation, and Interval Notation

Front

What is interval notation?

Back

Interval notation is a mathematical notation used to represent a range of values on the number line, using parentheses and brackets to indicate whether endpoints are included or excluded.

Front

How do you represent the solution x ≥ -3 in interval notation?

Back

The solution x ≥ -3 is represented in interval notation as [-3, ∞).

Tags

CCSS.6.EE.B.8

Front

What does the parenthesis ( ) signify in interval notation?

Back

Parentheses ( ) indicate that the endpoint is not included in the interval.

Front

What does the bracket [ ] signify in interval notation?

Back

Brackets [ ] indicate that the endpoint is included in the interval.

Tags

CCSS.6.EE.B.8

Front

How do you represent the solution z < 20 in interval notation?

Back

The solution z < 20 is represented in interval notation as (-∞, 20).

Tags

CCSS.6.EE.B.8

Front

Is -25 a solution to the inequality x > 15?

Back

No, -25 is not a solution to the inequality x > 15.

Tags

CCSS.6.EE.B.5

Front

What is the interval notation for the solution x ≥ 6?

Back

The solution x ≥ 6 is represented in interval notation as [6, ∞).

Tags

CCSS.6.EE.B.8

Front

What is set builder notation?

Back

Set builder notation is a mathematical notation used to describe a set by stating the properties that its members must satisfy.

Front

How would you express the set of all x such that x is greater than 5 in set builder notation?

Back

The set of all x such that x is greater than 5 can be expressed as {x | x > 5}.

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include their endpoints (using parentheses), while closed intervals do include their endpoints (using brackets).

Tags

CCSS.6.EE.B.8