Understanding Inequalities and Discounts

This video tutorial covers Math 7 Unit 6 Lesson 13 on inequalities. It revisits the concept of inequalities introduced in sixth grade, focusing on greater than and less than relationships. The lesson includes practical examples, such as determining if a number is greater than one and understanding height requirements for a roller coaster. It also involves exercises to determine the truth of inequalities and provides homework for further practice.

What does it mean when we say a number X is greater than another number?

• X is larger than the other number.

• X is equal to the other number.

• X is smaller than the other number.

• X is less than the other number.

In the roller coaster scenario, what is the minimum height required to ride?

• 62 inches

• 61 inches

• 60 inches

• 59 inches

If Noah is exactly 60 inches tall, can he ride the roller coaster?

• Yes, but only if he is accompanied by an adult.

• No, because he needs to be taller than 60 inches.

• No, because the minimum height is 61 inches.

• Yes, because he meets the minimum height requirement.

How can we express that Noah's friend must be at least 58 inches tall?

• Y < 58

• Y ≥ 58

• Y ≤ 58

• Y > 58

What does the symbol '≥' represent in inequalities?

• Less than

• Greater than or equal to

• Greater than

• Less than or equal to

In the true or false activity, what is the result of 0 ≤ 25?

• True

• False

• Cannot be determined

• Depends on the context

If -3x > 18, which of the following values for x makes the inequality true?

• -6

• -5

• -8

• -7

What is the percentage discount if a large pizza originally costs $16.25 and is bought for $13?

• 20%

• 15%

• 25%

• 30%

If a medium pizza costs $10.31 after a 30% discount, what was the original price?

• $15.00

• $12.00

• $13.00

• $14.73

Which of the following scenarios matches the equation 3x + 1 = 7?

• Andre studies 7 hours, spending 1 hour on English and equal time on three other subjects.

• Elena spends $7 on three notebooks and a $1 pin.

• Diego spends $1 on seven stickers and three marbles.

• Lynn spends $3 on seven markers and a $1 pin.