How Do You Solve a Word Problem Using a System of Inequalities?

Note:

Math can sneak up in all sorts of places, so it's important to be prepared! Follow this tutorial to see a real world math problem involving a system of inequalities!

Keywords:

Solution
Problem
inequalities
system of inequalities
linear
solve
word problem

Background Tutorials

Working with Slope-Intercept Form
- How Do You Graph a Line in Slope-Intercept Form?
- What's Slope-Intercept Form of a Linear Equation?
  
  When you're learning about linear equations, you're bound to run into the point-slope form of a line. This form is quite useful in creating an equation of a line if you're given the slope and a point on the line. Watch this tutorial, and learn about the point-slope form of a line!
Graphing Linear Inequalities
- How Do You Graph a Greater Than Inequality on the Coordinate Plane?
  
  Graphing inequalities on the coordinate plane is not as difficult as you might think, especially if you know what to do! In this tutorial, you'll see the steps you need to follow to graph an inequality.
- How Do You Determine if an Ordered Pair is a Solution to a Linear Inequality?
  
  To see if an ordered pair is a solution to an inequality, plug it into the inequality and simplify. If you get a true statement, then the ordered pair is a solution to the inequality. If you get a false statement, then the ordered pair is not a solution. Take a look at this tutorial and learn how to determine if an ordered pair is a solution to an inequality!
Systems of Linear Inequalities
- What's a System of Linear Inequalities?
  
  A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations! To solve such a system, you need to find the variable values that will make each inequality true at the same time. This tutorial will introduce you to systems of inequalities.
Evaluating Expressions
- How Do You Evaluate an Algebraic Expression?
  
  Plugging variables into an expression is essential for solving many algebra problems. See how to plug in variable values by watching this tutorial.
Translating Between Words and Math
- How Do You Translate a Phrase with One Variable and Number Into a Mathematical Expression?
  
  Need some practice translating phrases into mathematical expressions? Then this tutorial is for you! You'll get practice translating statements involving addition, subtraction, multiplication, or division into mathematical expressions.
Working with Integers
- What's an Inequality?
  
  Inequalities come up all the time when you're working algebra problems. In this tutorial you'll learn what an inequality is, and you'll see all the common inequality symbols that you're likely to see :)
Inequalities and Comparing Real Numbers
- How Do You Solve a Word Problem By Writing an Inequality?
  
  Got an inequality in a word problem? This tutorial will show you how to define variables, translate a word problem into an inequality, and understand what it all means!
Vertical and Horizontal Lines
- How Do You Graph a Vertical Line?
  
  To graph a vertical line that goes through a given point, first plot that point. Then draw a straight line up and down that goes through the point, and you're done! To see this process in action, watch this tutorial!
- How Do You Graph a Horizontal Line?
  
  To graph a horizontal line that goes through a given point, first plot that point. Then draw a straight line left and right that goes through the point, and you're done! To see this process in action, watch this tutorial!
Solving Systems of Inequalities
- What is a Solution To A System Of Linear Inequalities?
  
  What is a solution to a system of inequalities? Can a such a system have more than one solution? Follow along with this tutorial to learn the answers to these questions, and more!
Defining Inequalities
- What Are Some Words We Use To Write Inequalities?
  
  Knowing the definition for a compound inequality is one thing, but being able to identify one in a word problem or phrase can be an entirely different challenge. Arm yourself by learning some of the common phrases used to describe a compound inequality and an absolute value inequality.