Inequalities and Their Representations

This video tutorial by Mr. Hul covers lesson 34 on writing and graphing inequalities in real-world problems. It begins with an introduction to inequalities, followed by examples involving Caleb, Vanessa, and Le Chen. The lesson then applies inequalities to real-world scenarios such as oil changes and work hours. The video includes practice problems with solutions and concludes with advanced inequality problems. Throughout, Mr. Hul emphasizes understanding inequality symbols and graphing techniques.

Caleb has at least $5. Which inequality represents this situation?

• C < 5

• C ≥ 5

• C ≤ 5

• C > 5

If TK has more than $5, which inequality would you use?

• T ≤ 5

• T > 5

• T ≥ 5

• T < 5

Vanessa has at most $5. Which inequality describes this?

• V < 5

• V ≥ 5

• V > 5

• V ≤ 5

Le Chen has less than $5. Which inequality fits this scenario?

• L < 5

• L ≤ 5

• L > 5

• L ≥ 5

If a customer waits more than 20 minutes for an oil change, what happens?

• They receive a coupon

• The service is free

• They get a discount

• They pay extra

Gnaz needs to work at least 6 hours but fewer than 16 hours. Which inequality represents this?

• 6 < G ≤ 16

• 6 ≤ G < 16

• G ≥ 6 and G ≤ 16

• G > 6 and G < 16

Blatant is at most 2 meters above sea level. Which inequality represents this?

• B > 2

• B < 2

• B ≤ 2

• B ≥ 2

Edith must read for a minimum of 20 minutes. Which inequality represents this?

• E ≥ 20

• E > 20

• E ≤ 20

• E < 20

Travis never gets fewer than 3 gallons of milk. Which inequality represents this?

• M ≥ 3

• M ≤ 3

• M < 3

• M > 3

Rita needs more than 4 days to make 32 cakes. Which inequality represents this?

• R > 4

• R ≤ 4

• R < 4

• R ≥ 4