How Do You Solve an OR Compound Inequality and Graph It On a Number Line?

How Do You Solve an OR Compound Inequality and Graph It On a Number Line?

Note:

Trying to solve a compound inequality? No problem! This tutorial will take you through the process of splitting the compound inequality into two inequalities. Then you'll see how to solve those inequalities, write the answer in set builder notation, and graph the solution on a number line.

Keywords:

  • problem
  • inequality
  • solve
  • compound
  • compound inequality
  • compound inequality or
  • or
  • graph union
  • union
  • graph or compound inequality
  • solution set
  • set builder notation
  • arrows
  • arrows pointing different directions
  • number line

Background Tutorials

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

  • Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.

      • How Do You Write Inequalities in Set Builder Notation?How Do You Write Inequalities in Set Builder Notation?

      How Do You Write Inequalities in Set Builder Notation?

      Need some extra practice converting solution phrases into set builder notation? This tutorial was made for you! Follow along as this tutorial shows you how to dissect each phrase and turn it into a solution in set builder notation.

  • Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

      • What's a Compound Inequality?What's a Compound Inequality?

      What's a Compound Inequality?

      Wondering what a compound inequality is? Then check out this tutorial! You'll learn the definition for a compound inequality and also see how it can be written in set builder notation. Take a look!

      • What's the Addition Property of Inequality?What's the Addition Property of Inequality?

      What's the Addition Property of Inequality?

      Ever wondered what rules you're allowed to follow when you're working with inequalities? Well, one of those rules is called the addition property of inequality, and it basically says that if you add a number from one side of an inequality, you have to add that same number from the other side of the inequality as well. Watch the tutorial to see how this looks in terms of algebra!

Further Exploration

  • Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

      • How Do You Solve an AND Compound Inequality?How Do You Solve an AND Compound Inequality?

      How Do You Solve an AND Compound Inequality?

      Trying to solve a compound inequality? No problem! This tutorial will take you through the process of splitting the compound inequality into two inequalities. Then you'll see how to solve those inequalities and write the answer in set builder notation.

      • How Do You Solve an AND Compound Inequality and Graph It On a Number Line?How Do You Solve an AND Compound Inequality and Graph It On a Number Line?

      How Do You Solve an AND Compound Inequality and Graph It On a Number Line?

      Trying to solve a compound inequality? No sweat! This tutorial will take you through the process of solving the inequality. Then you'll see how to write the answer in set builder notation and graph it on a number line. You'll see it all in this tutorial!