# Lesson 34 writing and graphing inequalities in real-world

Show the possible customer wait times in which the company charges the customer. Let s start with the first bit of information.

The oil change must take 20 minutes or less.

## Real world inequality problems worksheet

What numbers on the graph do we need to show as a solution? At least tells us that Gurnaz must work 6 hours or more. How would we show this as an inequality? She wants to buy pairs of shoes. Because he has to change the oil in 20 minutes or less, the 20 is part of the solution and the circle will be closed. Exercises 1 5 Write an inequality to represent each situation. How would we represent Gurnaz working at least six hours?

For each value, have students plot it on a number line. How would we show this as an inequality?

What does this mean about the amount of time it will take? Guiding Questions How many inequalities do you need to represent the height requirements for the Air Bounce?

### Lesson 34 writing and graphing inequalities in real-world

Now, we need to put both of these pieces of information together to make one model of the inequality. You cannot go over. If customers have to wait longer than minutes for the oil change, the company does not charge for the service. Anchor Problems? Chad will need at least minutes to complete the K race. Understand that a graph of an inequality represents all of the solutions, oftentimes shown as a ray. Plot a point on a number line for different values of money that Li Chen could have. She wants to buy pairs of shoes. Ranger needs to save for at least weeks. It would be solid to show that 5 is part of the solution. However, he wants to finish in under minutes. A line segment? At most means that you can have that amount or less than that amount. Edith must read for a minimum of minutes.

For each statement, name a few values that fit the situation, write an inequality to describe all of the solutions, and draw a graph of the inequality on a number line. So far she has orders for more than cakes.

## Real world inequality problems worksheet

Keisha should plan on working on the costumes for or more weeks. Notes The purpose of this Anchor Problem is for students to make sense of inequality statements and to generate an inequality statement and graph that represents the situation. The fastest Kelly has ever completed the oil change is 6 minutes. Less than. A line? She wants to buy pairs of the same pants. For each value, have students plot it on a number line. How much money could Caleb have? Suggestions for teachers to help them teach this lesson In terms of pacing, this lesson may need to be extended over more than one day. No, they would be similar but not exactly the same.

Example 1 Statement Inequality Graph a. Gurnaz will need to work for at least six hours to save enough money, but he must work less than hours this week. Notes Students in sixth grade are not expected to write compound inequalities.

### Lesson 33 from equations to inequalities

How many weeks will he need to save? So, she could have less than 5, including 4, 3, 2, 1, 0 or even a negative amount if she owes someone money. The fastest oil change that Kelly has ever done took minutes. If Keisha has to have the costumes complete in 10 weeks or less, how will our solution change? How could we show both of these on one number line? How is this example different than the problems in Example 1? The essential concepts students need to demonstrate or understand to achieve the lesson objective Given a real-world constraint or condition, identify values that fit. So, how would we show this as an inequality? Since she can make four costumes each week, Keisha plans on working on the costumes for at least 7 weeks. This means that I can watch 1 or less than 1 TV show. Because 20 minutes is part of the acceptable time limit, we will use a solid circle and shade to the left. How many hours should he mow? Inequalities can have a range of possible values that make the statement true, where equations do not. How many days will it take her to complete the orders?
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