Mastering Interval Notation and Inequalities

The video tutorial introduces interval notation, a method for expressing intervals on a number line using brackets and parentheses. It explains when to use parentheses for less than and greater than, and brackets for less than or equal to and greater than or equal to. The video provides examples, including X > 3, X ≤ 2, and -2 ≤ X < 3, demonstrating how to represent these intervals on a number line and write them in interval notation.

What is interval notation used for?

• Graphing functions

• Calculating derivatives

• Solving equations

• Writing intervals on a number line

Which symbol is used for 'less than' in interval notation?

• Bracket

• Parenthesis

• Curly brace

• Square bracket

How do you denote 'greater than or equal to' in interval notation?

• Parenthesis

• Bracket

• Curly brace

• Square bracket

What symbol should always be used with infinity in interval notation?

• Square bracket

• Parenthesis

• Curly brace

• Bracket

How would you write 'X is greater than 3' in interval notation?

• [3, ∞]

• [3, ∞)

• (3, ∞)

• (3, ∞]

In the interval notation for 'X is greater than 3', why is the 3 written with a parenthesis?

• Because 3 is included

• Because 3 is not included

• Because it is a positive number

• Because it is a negative number

How would you write 'X is less than or equal to 2' in interval notation?

• (-∞, 2]

• (2, ∞)

• (-∞, 2)

• [2, ∞)

In the interval notation for 'X is less than or equal to 2', why is the 2 written with a bracket?

• Because 2 is included

• Because 2 is not included

• Because it is a positive number

• Because it is a negative number

How would you write '-2 is less than or equal to X which is less than 3' in interval notation?

• [-2, 3]

• (-2, 3]

• (-2, 3)

• [-2, 3)

In the interval notation for '-2 is less than or equal to X which is less than 3', why is the 3 written with a parenthesis?

• Because it is a positive number

• Because 3 is not included

• Because 3 is included

• Because it is a negative number