# Writing and using a system of inequalities

Example 1 - Systems of Inequalities Word Problem Sarah is selling bracelets and earrings to make money for summer vacation. Click here to move onto the word problem practice problems. For most real world problems, it will be easiest to graph the inequalities using the x and y intercepts.

Graph the two inequalities and shade the intersection. To put it mathematically: The number of weeks that Keith can withdraw money from his account is 12 weeks or less. I promise to make this as easy as possible. Plug in a point not on the line, like 0,0. In 7 years, Ellie will be old enough to vote in an election.

Multiple inequalities - a system of inequalities A system of inequalities has more than one inequality statement that must be satisfied. We could write this inequality as: Word Problem Solving Strategies Read through the entire problem. The stocks were not worth the same amount in the beginning, so if each stock loses half its value, the new values will not be equal either.

When you get into systems of inequalities, this is especially true because you are dealing with two inequalities. Pay careful attention to the key words highlighted words and how each inequality was written based on the problem.

Since this is a case where the inequality is true for y values greater than or equal to something, we have shaded the area above the line. Highlight the important information in this problem.

So, we must use the greater than or equal to symbol. Pay close attention to the key words given below, as this will help you to write the inequality.

Write an inequality to represent this situation. Highlight the important information in the problem. You can select the types of problems and number of problems. You must be at least 18 years old to vote.

Since y is less than a particular value on the low-side of the axis, we will shade the region below the line to indicate that the inequality is true for all points below the line: Once the inequality is written, you can solve the inequality using the skills you learned in our past lessons.

Write an inequality to represent the income form the jewelry sold. There are endless solutions for inequalities. Sarah knows that she will see more than 50 bracelets. This Systems of Equations worksheet will produce two problems per page. We can then use the Subtraction Property of Inequality to solve for e.

Now plot that line as shown: Systems of Inequalities Word Problems As you get further into Algebra 1, you will find that the real world problems become more complex. Graphically, it means we need to do what we just did -- plot the line represented by each inequality -- and then find the region of the graph that is true for BOTH inequalities.

Make sure that you scale your grid so that both inequalities can be graphed on the same grid. Take one step at a time and think about what you need in order to answer the question. Read through my example very carefully, and study how I performed each step.

Review how to graph a line here. If we divide both sides by a positive number, the inequality is preserved.

What relationship would she expect to see between the two stocks at the end of Tuesday? How many weeks can Keith withdraw money from his account?

Notice that it is true when y is less than or equal to. Systems of Three Equations Worksheets This Systems of Equations worksheet will produce problems for working with systems of three equations.Writing System Of Inequalities Showing top 8 worksheets in the category - Writing System Of Inequalities.

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Last post, we went over how to solve absolute value inequalities. For today’s post, we will talk. I promise to make this as easy as possible. Pay close attention to the key words given below, as this will help you to write the inequality.

Once the inequality is written, you can solve the inequality using the skills you learned in our past lessons. Solve word problems that involve systems of linear inequalities. If you're seeing this message, it means we're having trouble loading external resources on our website.

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Mary babysits for \$4 per hour. She also works as a tutor for \$7 per hour. She is only allowed to work 13 hours per week.

She wants to make at least \$ Write and graph a system of inequalities to represent this situation.

Writing and using a system of inequalities
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