# Writing a system of inequalities

WOOD Wood was employed throughout the ancient world as a writing surface. A system of inequalities is two or more inequalities that pertain to the same problem. In order to solve the system, we will need to graph two inequalities on the same graph and then be able to identify the areas of intersection on the graph. Take a look at a graph for a system of inequalities and then we will walk through a few examples step-by-step. Notice how we still use solid and dotted boundary lines based on the inequality symbol. You will also use a test point and shade the half plane that contains all solutions, just as we discussed in the graphing inequalities lesson. The only difference for this lesson will be that we must graph two inequalities on the same graph and then identify the area shaded by BOTH inequalities.

Let's take a look at our first example and this will make more sense. Systems of Inequalities Not too bad, is it? It might help for you to have two different colored pencils if you are practicing along with me. If you don't have colored pencils, then you can draw horizontal lines for one inequality and vertical lines for the other.

## Graphing Systems of Inequalities

This will make it easier to see which area contains solutions for both inequalities. Steps for Graphing Systems of Inequalities Graph the boundary line for the first inequality.

Use a test point to determine which half plane to shade. Shade the half plane that contains the solutions to the first inequality. Graph the boundary line for the second inequality. Shade the half plane that contains the solutions to the second inequality.

## Modeling with linear inequalities

Analyze your system of inequalities and determine which area is shaded by BOTH inequalities. This area is the solution for the system of inequalities.

The next example will demonstrate how to graph a horizontal and a vertical line. Systems of Inequalities Example number two may have looked confusing at first because of the inequalities.

Horizontal and vertical lines only have 1 variable. Use the Mathway calculator to check your answers!Compositions Graphically. Sometimes you’ll be asked to work with compositions of functions graphically, both “forwards” and “backwards”. You can do this without even knowing what the functions are!

Steps for Solving a System of Inequalities Word Problem. Read the problem and highlight important information. Identify the variables. Find one piece of information in the problem that you can use to .

Aug 17,  · Microsoft Mathematics Add-in for Microsoft Word and Microsoft OneNote makes it easy to plot graphs in 2D and 3D, solve equations or inequalities, and simplify algebraic expressions in your Word documents and OneNote notebooks.

Search using a saved search preference or by selecting one or more content areas and grade levels to view standards, related Eligible Content, assessments, and materials and resources. Writing System Of Inequalities. Showing top 8 worksheets in the category - Writing System Of Inequalities. Some of the worksheets displayed are Systems of, Concept 11 writing graphing inequalities, Writing and graphing inequalities, Review inequalities date, Inequalities word problem work, Lucasal solving and graphing linear inequalities unit plan, Systems of inequalities, 7 write and graph.

This page will help you draw the graph of a line. It assumes the basic equation of a line is y=mx+b where m is the slope and b is the y-intercept of the line.

Compositions of Functions, Even and Odd, and Increasing and Decreasing – She Loves Math