 ## Algebra A Math: Solutions to Linear Inequalities in One and Two Variables

This series introduces the student to compound inequalities, set builder and interval notation, and linear inequalities in two variables. This series of eight lessons introduces the student to compound inequalities, set builder notation and interval notation. Then, the student learns more complex linear inequalities in one variable as well as linear inequalities in two variables.

This sequence of lessons furthers the understanding of linear inequalities. The student also learns the benefit of using set builder notation and interval notation to denote an interval of values.

### Graphing Solutions to Compound Inequalities I

This lesson teaches the student how to graph the solution to a compound inequality. The compound inequalities this lesson teaches to the student involves compound inequalities that have the same sign.

### Graphing Solutions to Compound Inequalities II

This lesson teaches the student how to graph the solution to a compound inequality when the inequality signs are opposites.

### Set Builder Notation

In this lesson, the student is introduced to set builder notation. The student also learns how set builder notation can be used to express the solution to linear inequalities and compound inequalities.

### Interval Notation

In this lesson, the student learns how to use interval notation. Like the previous lesson on set builder notation, the student also learns how to write the solutions to inequalities in interval notation.

### More Complex Linear Inequalities

This lesson introduces how to solve and write the solution for complex linear inequalities. This is the first lesson on linear inequalities where the x value is not already isolated. The student learns how to find the solution to these types of inequalities.

### Solving Compound Inequalities

This lesson introduces complex inequalities to the idea of compound inequalities. The student learns how to solve these types of inequalities and write the solution. The student is also introduced to compact form and shown how to determine the solution of a inequality in compact form.

### Linear Inequalities in Two Variables

In this lesson, the student learns how to graph linear inequalities in two variables. The lesson teaches the student how to graph the boundary line of an inequality. Then, the student learns how to determine if a point satisfies the inequality or not. Finally, they learn that the solution to a linear inequality in two variables is an entire section of the coordinate plane bounded by the boundary line.

### Systems of Linear Inequalities in Two Variables

This lesson introduces the student to a system of linear inequalities in two variables. The student learns how to find the solution to such a system on a graph.

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