How Do You Find the Solution Set for a Relation If You Know the Domain?

How Do You Find the Solution Set for a Relation If You Know the Domain?

Note:

To find the solution set of an equation with a given domain, you first need to plug each value in the domain into the equation to get the respective range values. Create ordered pairs from these values and write them as a set. That set is your answer! Learn it all in this tutorial!

Keywords:

  • problem
  • solution
  • solution set
  • domain
  • linear equation
  • plug in
  • x-coordinates
  • check
  • substitute
  • substitution

Background Tutorials

  • Sets and Number Lines

      • What's a Set?What's a Set?

      What's a Set?

      This tutorial will help you understand what a set is, and the different kinds of sets that you may see when you're working on algebra problems :)

  • Graphing in the Coordinate Plane

      • What is an Ordered Pair?What is an Ordered Pair?

      What is an Ordered Pair?

      Ordered pairs are a fundamental part of graphing. Ordered pairs make up functions on a graph, and very often, you need to plot ordered pairs in order to see what the graph of a function looks like. This tutorial will introduce you to ordered pairs!

      • What is the X-Coordinate?What is the X-Coordinate?

      What is the X-Coordinate?

      Ordered pairs are a crucial part of graphing, but you need to know how to identify the coordinates in an ordered pair if you're going to plot it on a coordinate plane. In this tutorial, you'll see how to identify the x-coordinate in an ordered pair!

      • What is the Y-Coordinate?What is the Y-Coordinate?

      What is the Y-Coordinate?

      Ordered pairs are a crucial part of graphing, but you need to know how to identify the coordinates in an ordered pair if you're going to plot it on a coordinate plane. In this tutorial, you'll see how to identify the y-coordinate in an ordered pair!

  • Relation Definitions

      • What is Domain?What is Domain?

      What is Domain?

      Did you know that a relation has a domain? The domain of a relation is the set of the first coordinates from the ordered pairs. This tutorial defines the domain of a relation!

      • What's a Solution Set?What's a Solution Set?

      What's a Solution Set?

      When an equation has two variables, the set of ordered pairs that are the solution to the equation are called the solution set to the equation. In this tutorial, you'll learn the definition of a solution set and see an example. Take a look!