- A linear inequality describes a region of the coordinate plane bounded by a line. Any point in the shaded region is a solution to the inequality. - To graph a linear inequality, first solve it for y and graph the resulting equation as a line. Then, test a point not on the line to determine which side of the line to shade based on whether it satisfies the inequality. - The line is drawn solid for ≤ or ≥ and dashed for < or >. Shading the correct side of the line indicates the full solution set of the inequality.

1. Graphing Linear Inequalities Inderjyot Kaur Tech 110 IMPACT October 16 th , 2008

2. Standards California Standards for Algebra I 6.0 Students graph a linear equation and compute the x - and y -intercepts (e.g., graph 2 x + 6 y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2 x + 6 y < 4).

3. Linear Inequality A linear inequality is describes an area of the coordinate plane that has a boundary line. Every point in that region is a solution of the inequality.

4. Graphing an Inequality Solve the equation for y (if necessary). Graph the equation as if it contained an = sign

5. Graphing an Equation Step 1: Find three ordered pair solutions. Step 2: Plot the points found in step 1. Step 3: Draw the graph.

6. Solid or Dashed? Draw the line solid if the inequality is ≤ or ≥ Draw the line dashed if the inequality is < or >

7. Check Pick a point not on the line to use as a test point. The point (0,0) is a good test point if it is not on the line.

8. Shade the Solution Set If the point makes the inequality true, shade that side of the line. If the point does not make the inequality true, shade the opposite side of the line.

9. Slide Title – Conclusion We learnt how to graph an inequality It is similar to graphing an Equation. Write the inequality in slope intercept form. Graph the equation. Check a point on either side of the line. Shade the solution set.

10. Resources / References References: Picture credit regentsprep .org Text, Picture credit MathWarehouse Resources: Try this application for graphing inequalities