Mastering Interval Notation and Inequalities

This video tutorial introduces interval notation as a compact way to represent ranges of numbers without graphing. It explains the use of brackets and parentheses, and how to denote infinity in interval notation. The tutorial includes practice examples to illustrate how to write interval notation for various inequalities, emphasizing the importance of using parentheses with infinity symbols.

What is the main purpose of interval notation?

• To find the slope of a line

• To solve equations

• To avoid drawing graphs

• To make calculations easier

How are the two numbers in interval notation separated?

• By a comma

• By a dash

• By a semicolon

• By a colon

What symbol is used to represent infinity in interval notation?

• A sideways eight

• A circle

• A triangle

• A square

In interval notation, what does a parenthesis indicate?

• The interval is infinite

• The interval is finite

• The number is excluded

• The number is included

How would you write the interval notation for X > 3?

• (3, ∞)

• [3, ∞)

• [3, ∞]

• (3, ∞]

What is the interval notation for X ≥ -7?

• [-7, ∞)

• (-7, ∞)

• [-7, ∞]

• (-7, ∞]

Why can't we use a bracket with the infinity symbol?

• Because infinity is not a number we can reach

• Because it is a rule

• Because it is always positive

• Because it is always negative

What is the interval notation for X ≥ 10/3?

• (10/3, ∞]

• [10/3, ∞]

• (10/3, ∞)

• [10/3, ∞)

How would you write the interval notation for X ≤ -6?

• (-∞, -6]

• [-∞, -6]

• [-∞, -6)

• (-∞, -6)

What is the interval notation for X > 3/4?

• [3/4, ∞]

• (3/4, ∞]

• (3/4, ∞)

• [3/4, ∞)