A series of free, online Intermediate Algebra Lessons or Algebra II lessons.
Videos, worksheets, and activities to help Algebra students.
In this lesson, we will
If we want to solve for or describe a region in a coordinate plane, we can use linear inequalities. Linear inequalities give us a set of solutions as opposed to just one solution. Solving linear inequalities uses similar methods as solving multi-step equations, except that there are extra rules when using multiplication and division. We graph linear inequalities by shading regions of number lines or coordinate planes.
Solving and Graphing Inequalities using Addition or Subtraction
Solving and Graphing Inequalities using Multiplication or Division
Solving and Graphing Multistep Inequalities
Graphing Inequalities with Two Variables
A set operation is the collection of two data sets. Two data sets can be added together, which is called a union set operation. For example, the union of data set A with the data set B (A U B) is the set of all things which are members of either A or B. Set operations include union, intersections and complements.
How to define union.
A set operation is the collection of two data sets. Types of set operations include union, intersections and complements. Intersection set operations is a new set of data that is constructed by determining the values that two sets have in common. For example, the intersection of data set A and data set B is the set of all things which members of both A and B.
How to define intersection.
In mathematics, it can be useful to limit the solution or even have multiple solutions for an inequality. For this we use a compound inequality, which consists of inequalities with multiple inequality signs. When solving compound inequalities, we use some of the same methods used in solving multi-step inequalities. The solutions to compound inequalities can be graphed on a number line, and can be expressed as intervals.
In Algebra II, we are sometimes asked to use linear inequalities to solve word problems. Solving linear inequalities word problems is very similar to solving word problems with linear equations. With word problems, we extract the relevant information and then set up a linear inequality to solve it.
How to find a test score to keep the class grade at least 90%.
Solving Word Problems Involving Inequalities - Example 1
Solving Word Problems Involving Inequalities - Example 2
Solving Word Problems Involving Inequalities - Example 3
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.