Compound Inequalities Made Easy | Algebra 1 Lesson 11 | Solving & Graphing Compound Inequalities

In this Algebra 1 lesson, we continue our study of inequalities by learning how to solve compound inequalities. Compound inequalities combine two inequalities into one statement and allow us to find a range of possible values for the variable. In this lesson, we solve many examples step-by-step and learn important strategies for handling addition, subtraction, multiplication, and division in inequalities — especially when multiplying or dividing by a negative number and reversing the inequality sign. We also explore cases where the variable appears on both sides and learn when a compound inequality must be separated into two individual inequalities. 📚 Topics Covered ✅ What Are Compound Inequalities? ✅ Solving AND Compound Inequalities ✅ Finding Upper and Lower Limits ✅ Adding and Subtracting from All Parts of an Inequality ✅ Multiplying and Dividing Inequalities ✅ The Important Rule: Flipping Inequality Signs with Negative Numbers ✅ Solving Inequalities with Negative Coefficients ✅ Variables on Both Sides of an Inequality ✅ Separating Compound Inequalities into Two Problems ✅ Interval Notation ✅ Open and Closed Endpoints ✅ Checking Solutions ✅ Common Algebra Mistakes to Avoid This lesson is an essential part of Algebra 1 and prepares students for graphing inequalities, inequality word problems, systems of inequalities, and future algebra topics. 👍 If this lesson helps you, please Like, Subscribe, and Share to support Math and Engineering Made Easy! #Algebra1 #CompoundInequalities #Inequalities #SolveInequalities #MathTutorial #LearnAlgebra #AlgebraForBeginners #NumberLine #IntervalNotation #RegentsPrep #SATMath #MathHelp #HighSchoolMath #STEM #MathAndEngineeringMadeEasy