More Lessons for Basic Algebra

Math Worksheets

A series of free Basic Algebra Lessons.

In this lesson, we will learn

- how to solve linear inequalities in one variable.
- solving and graphing linear inequalities using addition or subtraction.
- solving and graphing linear inequalities using multiplication or division.

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. We can solve linear inequalities using similar methods as in 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.

Inequalities follow different rules than equations when dealing with multiplication. Solving inequalities using multiplication involves watching for negative numbers. When we multiply both sides by a negative number we must change the direction of the inequality sign. This happens when using multiplicative inverses to simplify the way we would when solving multi-step equations.

This video teaches how to solve one step linear inequalities in one variable. The solution is given as an inequality, a graph, and using interval notation.

Inequalities are useful for finding a range of solutions. Solving and graphing inequalities is a key to finding and showing that range. We can solve inequalities using a lot of the same methods as those in solving multi-step equations when dealing with additive inverses, although some things are different when solving inequalities using multiplication. We graph inequalities using number lines.

This video explains how to solve one step linear inequalities in one variable with the variable on the left side. The solution is graphed and expressed using interval notation.

This video explains how to solve one step linear inequalities in one variable with the variable on the right side. The solution is graphed and expressed using interval notation.

Inequalities follow different rules than equations when dealing with multiplication. Solving inequalities using multiplication involves watching for negative numbers. When we multiply both sides by a negative number we must change the direction of the inequality sign. This happens when using multiplicative inverses to simplify the way we would when solving multi-step equations.

This video provides two examples of solving one step linear inequalities in one variable by multiplying with the variable on the left. The solutions are also written using interval notation.

This video provides two examples of solving one step linear inequalities in one variable by dividing with the variable on the left. The solutions are also written using interval notation.

This video provides two examples of solving one step linear inequalities in one variable by dividing with the variable on the right. The solutions are also written using interval notation.

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You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.