Understanding Inequalities and Integer Concepts

This lesson, led by Mrs. Zapia, covers inequalities, focusing on understanding and solving them. Students learn to interpret solutions, convert arithmetic inequalities, and apply these concepts to real-world scenarios like saving money, buying tickets, and packing luggage. The lesson includes exercises and examples to reinforce the understanding of inequalities and their solutions.

What is an inequality?

• A statement that involves only subtraction.

• A statement that involves only addition.

• A statement that one expression is less than or greater than another.

• A statement that two expressions are equal.

How many weeks does Tariq need to save enough money for the tablet?

• 4 weeks

• 5 weeks

• 6 weeks

• 7 weeks

Why can there be more than one solution to an inequality?

• Because inequalities can have multiple values that satisfy the condition.

• Because inequalities are only used in theoretical math.

• Because inequalities are always false.

• Because inequalities have no solutions.

What is the smallest consecutive odd integer greater than -4?

• 1

• -1

• -3

• -5

What is the sum of two consecutive odd integers that is greater than -12?

• -8

• -10

• -14

• 0

How much money does Connor have left after buying a hot dog and drink?

• $22.50

• $20.00

• $19.00

• $18.75

What is the maximum number of tickets Connor can buy?

• 20 tickets

• 10 tickets

• 15 tickets

• 12 tickets

What is the weight limit for Sally's checked bag?

• 40 pounds

• 45 pounds

• 50 pounds

• 55 pounds

How much can each gift weigh if Sally packs 5 gifts?

• 1 pound

• 2 pounds

• 3 pounds

• 4 pounds

What should you remember when solving inequalities?

• Inequalities are the same as equations.

• Inequalities have no solutions.

• Reverse the inequality symbol when multiplying or dividing by a negative number.

• Always add numbers to both sides.