Inequalities Practical Situations

Swim practice will be no more than 35 laps.

• L > 35

• L < 35

• L > 35

• L < 35

• L = 35

The occupancy of the room must be less than 437 people.

• p > 437

• p < 437

• p > 437

• p < 437

• p = 437

Charity needs to get a score of higher than 89 to get an A on her next math test.

• s > 89

• s < 89

• s > 89

• s < 89

• s = 89

The box was at least 20 pounds.

• b > 20

• b < 20

• b > 20

• b < 20

• b = 20

Renting video games from Store S costs $2.50 per game plus a monthly fee of $5.00. Renting video games from Store T costs $5.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. Which inequality represents the situation when the monthly cost at Store S is less than the monthly cost at Store T?

• 2.5v + 5 < 5v

• 2.5v + 5 > 5v

• 7.5v < 5v

• 7.5v > 5v

Bam bought 4 mangoes and 7 guavas. The total amount she paid was at least $23. If 𝑥 represents the cost of each mango and 𝑦 the cost for each guava, which of the following mathematical statements represents the given situation?

• 4𝑥 + 7𝑦 ≥ 23

• 4𝑥 + 7𝑦 ≤ 23

• 4𝑥 + 7𝑦 > 23

• 4𝑥 + 7𝑦 < 23

Streaming movies from Amazon costs $3.99 per movie plus a $10.00 monthly fee. Streaming movies from Disney Plus costs $5.99 per movie plus a $8.00 monthly fee. The monthly costs depends on the number of movies,m, that have been rented.Which inequality shows the situation where the monthly cost of Amazon is more than the monthly cost of Disney Plus?

• 3.99m + 10 < 5.99 + 8m

• 3.99 + 10m < 5.99 +8m

• 3.99m + 10 > 5.99m +8

• 3.99m + 10 < 5.99m +8

Jamal wrote the inequality x/16 < - 6. Which situation is best represented by this inequality?

• Jamal divided x pieces of paper among 16 students, and each student received fewer than 6 pieces of paper.

• Jamal placed x cards in 16 stacks, and there were no more than 6 cards in each stack.

• Jamal separated x shirts into 6 stacks, and each stack had at least 16 shirts. 
  

• Jamal shared 16 markers with x classmates, and each classmate had fewer than 6 markers. 

The maximum amount of weight that an elevator can hold is 2,000 pounds.

• p > 2,000

• p < 2,000

• p > 2,000

• p < 2,000

• p = 2,000

In order to qualify for free shipping, you must spend a minimum of $25 at Amazon.

• s > 25

• s < 25

• s > 25

• s < 25

• s = 25