Mastering Interval Notation and Inequalities

This tutorial teaches how to express a range of numbers using interval notation. It covers the use of inequality symbols, grouping symbols like brackets and parentheses, and how to represent intervals on a number line. The concept of infinity in interval notation is also explained, along with practical examples for better understanding.

What is the main topic of this tutorial?

• Solving quadratic equations

• Writing interval notation

• Graphing linear equations

• Understanding complex numbers

Which symbols are commonly used to represent inequalities?

• Plus and minus signs

• Parentheses and brackets

• Inequality symbols

• Arrows and lines

What do brackets in interval notation signify?

• The number is not included

• The number is included

• The number is an approximation

• The number is a variable

When should you use parentheses in interval notation?

• When the number is included

• When the number is not included

• When the number is an approximation

• When the number is a variable

In interval notation, where should the smallest value be placed?

• On the left-hand side

• In the middle

• On the right-hand side

• It doesn't matter

What does an open circle on a number line represent?

• The number is not included

• The number is an approximation

• The number is a variable

• The number is included

What does an arrow on a number line indicate?

• The interval is a variable

• The interval is an approximation

• The interval is infinite

• The interval is finite

How should infinity be represented in interval notation?

• With brackets

• With an approximation

• With a variable

• With parentheses

If a number is greater than 3, how should it be written in interval notation?

• (3, ∞)

• [3, ∞)

• (3, ∞]

• [3, ∞]

How would you write the interval notation for a number less than or equal to -1?

• (-∞, -1)

• (-∞, -1]

• [-∞, -1]

• [-∞, -1)