# How to write a system of inequalities

Need more practice? The boundary line is precisely the linear equation associated with the inequality, drawn as either a dotted or a solid line.

So, the shaded area shows all of the solutions for this inequality.

### Systems of equations and inequalities word problems worksheet

Graphically, we represent an inclusive inequality by representing the boundary line with a solid line. Sarah knows that she will see more than 50 bracelets. So the amount of sugar that she's going to use for all of the cupcakes is going to be 35 grams per cupcake, let me write that a little bit neater, 35 grams per cupcake times the number of cupcakes. Make sure that you scale your grid so that both inequalities can be graphed on the same grid. Everything You'll Have Covered Recall that a linear inequality is an inequality involving linear functions. So plus 30 grams of sugar per muffin times the number of muffins. Find a different piece of information that you can use to write a second inequality. For example, in Figure 1, the linear inequality is represented on the coordinate plane. 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. Steps for Graphing Systems of Inequalities Graph the boundary line for the first inequality. Show Solution Check the point with each of the inequalities. So everything here is in grams.

For example, in Figure 1, the linear inequality is represented on the coordinate plane. This area is the solution to the system of inequalities. If the inequality is of the form then the region below the line is shaded and the boundary line is solid. Now let's see, this next question.

The next example will demonstrate how to graph a horizontal and a vertical line. In this case, our system is: Tutorial Details 20 Minutes Pre-requisite Concepts Students should be able to write the equation of a line from its graph and vice versa graph a line from its equationand define and graph a system of linear inequalities.

The purple area shows where the solutions of the two inequalities overlap.

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