You will explore how to graph inequalities in order to solve. You will also solve inequalities using properties of equality. `

**TEKS Standards and Student Expectations**

**A(3) **Linear functions, equations, and inequalities. The student applies the mathematical process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without technology, equations, inequalities, and systems of equations. The student is expected to:

**A(3)(D) **graph the solution set of linear inequalities in two variables on the coordinate plane

**A(5) **Linear functions, equations, and inequalities. The student applies the mathematical process standards to solve, with and without technology, linear equations and evaluate the reasonableness of their solutions. The student is expected to:

**A(5)(B)** solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides

**Resource Objective(s)**

The student will represent linear inequalities using equations, tables, and graphs. The student will solve linear inequalities using graphs or properties of equality, and determine whether or not a given point is a solution to a linear inequality.

**Essential Questions**

How do you know when to use a solid or dashed line when graphing an inequality?

How do you know if you should shade above or below the line when graphing an inequality?

What are the similarities and differences in graphing an equation in slope-intercept form, and an inequality in slope-intercept form?

**Vocabulary**