In this video, we explore the interval and inequality notation that is used to describe sets of numbers.
Award-winning Professor Edward Burger discusses how to solve inequalities and express their solutions in interval notation.
via YouTube Capture
Intervals describe specific sets of numbers and are very useful when discussing domain and range. In this video, Sal introduces the different types of intervals and their notations. Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/domain-of-a-function-intro?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/interpreting-function-notation/v/interpreting-function-notation-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
This Algebra video tutorial explains how to solve inequalities that contain fractions and variables on both sides including absolute value function expressions. It also shows you how to plot / graph the inequality solution on a number line and how to write the solution using interval notation. This video contains plenty of examples and practice problems. Here is a list of topics: 1. Graphing Inequalities on a number line 2. Solving Compound Inequalities 3. Conjunction and Disjunction 4. Writing the solution using interval notation 5. Solving Inequalities by clearing away fractions 6. Common Denominator and Least Common Multiple Technique 7. Inequalities with variables on both sides 8. Solving Inequalities Using Addition and Subtraction 9. Solving Inequalities Using Multiplication and Division 10. Solving Inequalities with absolute value expressions 11. Flipping the inequality sign
I use the first minute and a half to go over how to read inequality signs and also how to read inequalities when variables are involved. I then cover four inequalities, the last two of which involve reversing the direction of the inequality sign.
Using Interval Notation to Express Inequalities - Example 1
Explains why the symbols look the way they do. Now you will never get your inequality pointing in the wrong direction again!
Notation plays an important role in mathematics. This video introduces how to read and write interval and set notation.