Inequalities and Their Applications

The video tutorial covers solving inequalities, matching sentences with inequalities, and calculating pizza prices with discounts. It includes examples and explanations for each problem, helping students understand how to solve inequalities and apply mathematical concepts to real-world scenarios. The video concludes with a call to support the channel.

If x + 3 > 70, which of the following values for x would make the inequality true?

• 65

• 80

• 67

• 70

For the inequality x + 3 < 70, which value of x would make it false?

• 90

• 10

• 50

• 30

When solving -5x < 2, what happens to the inequality sign when dividing by a negative number?

• It disappears

• It becomes an equal sign

• It stays the same

• It reverses

Which value of x satisfies the inequality -3x > 18 after solving it?

• -8

• -7

• -6

• -5

If Han has x dollars and receives 2 more, which inequality represents having less than 20 dollars?

• x + 2 > 20

• x - 2 > 20

• x + 2 < 20

• x - 2 < 20

What is the original price of a medium pizza if a 30% discount makes it $10.31?

• $12.00

• $13.00

• $14.73

• $15.00

If a friend has a 15% off coupon and $10, what is the most expensive pizza they can buy?

• Extra-large pizza

• Large pizza

• Medium pizza

• Small pizza

Which story matches the equation 3x + 1 = 7?

• Andre spends 7 hours on exams, 1 on English, and equal on others.

• Lin spends $3 on 7 markers and $1 on a pen.

• Diego spends $1 on 7 stickers and 3 marbles.

• Noah shares 7 grapes with 3 friends and eats 1.

In the story where Noah shares grapes, what does the '1' in the equation 3x + 1 = 7 represent?

• The total grapes

• The number of grapes each friend gets

• The number of friends

• The grape Noah eats

Which inequality represents Priya having half her money and still less than $20?

• x/2 > 20

• 1/2x > 20

• 1/2x < 20

• 2x < 20