Writing and Graphing Inequalities

Warmup

Drag points A and B so the line matches the equation. Click .

Activity #1

Find the Region that Satisfies an Inequality on a Number Line.

• Read the inequality problem.
• Write down at least 5 numbers satisfying the inequality starting with the least number. Answers should be integers only.
• Click in the box to check the region satisfying the inequality.​
• Click on .

• Read the question and decide which expression is correct.
• Check the appropriate box.
• Verify your answer.
• Then check answer box to verify your answer. If it is correct, you’ll get a feedback. If not, try to find out why you missed it.
• Then click .

Activity #2

Match Number Lines with Descriptions.

In this activity, there are three sets of cards to be matched. One set has holders that are red open points, another set has holders that are green open points, and the other set are numbers lines. You goal is to match three cards that are equivalent.

• Start the activity by matching the description with the green open points with the number line. When you discover a matching pair, drag the green point over the blue point. ​
• When all the statements have been matched, match each description with the red open points to the same number line. When you discover a matching pair, drag the red point over the blue point.​
• When done, click .

• Answer the following questions:

A fishing boat can hold fewer than 9 people.

(1.) How many people, can it hold? You can either describe it, or make list the number.

(2.) Represent it as an inequality:

(3.) Also represent it on the number line below.

• Answer the following questions:

Lin needs more than 9 ounces of butter to make cookies for her party.

(1.) How many people, can it hold? You can either decribe it, or make list the number.

(2.) Represent it as an inequality:

(3.) Also represent it on the number line below.

• Answer the following questions:

A magician will perform her magic tricks only if there are at least 9 people in the audience.

(1.) For how many people, will she perform her magic tricks? You can either decribe it, or make list the number.

(2.) Represent it as an inequality:

(3.) Also represent it on the number line below.

• Answer the following questions:

A food scale can measure up to 9 kilograms of weight.

(1.) What weights, can the scale measure? You can either describe it, or make list the number.

(2.) Represent it as an inequality:

(3.) Also represent it on the number line below.

Challenge #1

Find 3 different numbers that a could be if |a| < 5. Plot these points on the number line. Then plot as many other possibilities for a as you can.

Challenge #2

Kiran started his homework before 7:00 p.m. and finished his homework after 8:00 p.m. Let represent the number of hours Kiran worked on his homework. Decide if each statement it is definitely true, definitely not true, or possibly true.

Challenge #3

Choose the mathematical inequality statement that matches the English statement below .