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Ready to master circle inequalities? 🧐 In this video, Mario's Math Tutoring breaks down the equation of a circle and shows you how to use it to graph and write inequalities for circles! We start by revisiting the definition of a circle as a set of equidistant points from a center, connecting it directly to the distance formula. You'll see how the standard equation of a circle ((x - h)² + (y - k)² = r²) is derived and how it forms the foundation for understanding circle inequalities. Then, we dive into the core concept: Greater than : Represents points outside the circle (further away from the center). Less than: Represents points inside the circle (closer to the center). Greater than or equal to: Includes points on the circle (solid line) and outside. Less than or equal to : Includes points on the circle (solid line) and inside. Watch as we tackle two clear examples: Writing the circle inequality for a shaded region with a dashed line. Graphing a given circle inequality ((x + 1)² + y² 4) and correctly shading the region. By the end of this tutorial, you'll confidently graph and write circle inequalities, understanding the meaning behind dashed/solid lines and shaded regions! #CircleInequalities #EquationOfACircle #GraphingCircles #MathTutorial #Algebra #Geometry #PreCalculus #MathHelp #MarioMathTutoring Timestamps: 00:00 Intro 0:13 What is the Equation of a Circle 0:40 How to Derive the Equation of a Circle 1:55 How to Write a Circle Inequality 2:40 Example 1 Write the Circle Inequality Given the Graph 3:29 Example 2 Graph (x+1)^2 + y^2 (greater than or equal to) 4 Related Videos: Circle Standard Form • Write the Equation of a Circle in Standard... How to Graph Inequalities 2 Methods • Inequalities - How to Graph (2 Easy Methods) Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) https://www.mariosmathtutoring.com/fr... ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) / @mariosmathtutoring