# Write and graph a system of inequalities Systems of Inequalities Practice Problems Now that you've studied all of the steps required for solving systems of inequalities word problemsI know you are anxious to practice some on your own. Yes, of course you are.

## Coordinate System and Graphing Lines including Inequalities – She Loves Math

This is the true test of how well you studied this unit on inequalities. Just a few things to remember before diving into these problems: Solving Word Problems Read each problem twice.

The second time - use your highlighter to highlight the key words. Focus on the inequality symbol and make sure that it makes sense in relation to the context of the problem.

As you create your graph, remember that only the part that is shaded by both inequalities is the solution area. Don't forget to answer the question given in the problem. This is the purpose for solving the problem. It's always best to answer questions to word problems in complete sentences.

Here are your two problems. Practice Problem 1 Jason is buying wings and hot dogs for a party. Write an inequality to represent the cost of Jason's food for the party.

Jason knows that he will be buying at least 5 pounds of hot dogs. Write an inequality to represent this situation. Graph both inequalities and shade the intersection. Identify two solutions and justify your answers. Practice Problem 2 The boys and girls soccer clubs are trying to raise money for new uniforms.

Write an inequality to express the income from the two fundraisers. The girls expect to sell at least candles. Graph both inequalities on a grid and shade the intersection. Give two possible solutions to this system. Jason is buying wings and hot dogs for a party. Your final answer may vary depending on which ordered pairs you choose from the solution set.

Just make sure that your answer makes sense in relation to the problem. The boys and girls soccer clubs are trying to raise money for new uniforms. How did you do? Feeling pretty good about inequalities? Hope so, if not go back and review all of the examples and try again.Grade 7» Introduction Print this page. In Grade 7, instructional time should focus on four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations with rational numbers and working with expressions and linear equations; (3) solving problems involving scale drawings and informal geometric constructions, and working.

Graph the solution set for this system. It's a system of inequalities. We have y is greater than x minus 8, and y is less than 5 minus x. Let's graph the solution set for each of these inequalities, and then essentially where they overlap is the solution set for the system, the set of coordinates that satisfy both.

Page 1 of 2 Graphing and Solving Quadratic Inequalities srmvision.com one example each of a quadratic inequality in one variable and a quadratic inequality in two variables.

srmvision.com does the graph of y>x2differ from the graph of y≥ x2?

## Systems of Inequalities Word Problems

3. Solving systems of inequalities has an interesting application--it allows us to find the minimum and maximum values of quantities with multiple constraints.

First, assign a variable (x or y) to each quantity that is being solved for. Write an equation for the quantity that is being maximized or. • Determine if an equation or inequality is appropriate for a given situation.

• Solve mathematical and real-world problems with equations. • Represent real-world situations as inequalities. To graph the solution to this system we graph each linear inequality on the same set of coordinate axes and indicate the intersection of the two solution sets.

Note that the solution to a system of linear inequalities will be a collection of points.

Graphing Systems of Inequalities