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?

Note:

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!

Keywords:

  • problem
  • inequality
  • compound inequality
  • solve
  • set builder notation
  • graph
  • number line
  • graph on 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.

      • How Do You Solve and Graph a Two-Step Inequality?How Do You Solve and Graph a Two-Step Inequality?

      How Do You Solve and Graph a Two-Step Inequality?

      Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

      • How Do You Solve an Inequality with Negative Numbers Using Division?How Do You Solve an Inequality with Negative Numbers Using Division?

      How Do You Solve an Inequality with Negative Numbers Using Division?

      Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

      • 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 notat

Further Exploration

  • Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

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