Understanding Interval Notation

The video introduces interval notation as a method to express inequalities, explaining how to use brackets and parentheses to indicate whether endpoints are included. It provides examples for different inequalities, demonstrating how to write them in interval notation and explaining the significance of infinity in this context.

What is the main purpose of interval notation?

• To calculate probabilities

• To solve equations

• To represent the range of values in inequalities

• To graph functions

In interval notation, what does a bracket indicate?

• The interval is undefined

• The interval is infinite

• The endpoint is included

• The endpoint is not included

How would you write the inequality 'X is greater than 4' in interval notation?

• (4, ∞)

• [4, ∞)

• (4, ∞]

• [4, ∞]

What symbol is used to represent infinity in interval notation?

• [∞

• ∞)

• (∞

• ∞

How is 'y is less than or equal to -2' represented in interval notation?

• [-∞, -2)

• [-∞, -2]

• (-∞, -2)

• (-∞, -2]

Why do we use parentheses with infinity in interval notation?

• Infinity is a specific endpoint

• Infinity is not a number

• Infinity is always included

• Infinity is always excluded

How would you write 'm is greater than or equal to 0' in interval notation?

• [0, ∞]

• (0, ∞]

• (0, ∞)

• [0, ∞)

What does the interval notation (-∞, 1) represent?

• All numbers less than 1

• All numbers greater than 1

• All numbers equal to 1

• All numbers greater than or equal to 1

In the context of interval notation, what does a comma separate?

• Two inequalities

• Two numbers

• The start and end of an interval

• Two equations

Which of the following is true about interval notation?

• It can represent both finite and infinite intervals

• It uses brackets for open intervals

• It can only represent finite intervals

• It uses parentheses for closed intervals