Word Problems with Absolute Value Inequalities
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- (Video) Absolute Value Inequality Word Problems by I ♥ π Here's a really good video by I ♥ π. She shows you how to systematically work through absolute inequality word problems.…
By Alex Federspiel, Zora Gilbert, Amy Feraco, Jonathan Heller, Dani, Caroline K, Anusha Rahman
- To be able to solve Word Problems with Absolute Value Inequalities, you first need to be able to translate word problems into mathematical expressions. It would also be helpful …
By Hannah Bonville, Zora Gilbert, Amy Feraco, Jonathan Heller, Dani, Anusha Rahman, Caroline K
- Word Problems with Absolute Value Inequalities When given a word problem relating to absolute value inequalities, first translate the words to math terms. In other words, repres…
By Caroline K
Problems 21
- At Stephen's new company the average starting pay is 30300\3030030300 but it could differ by up to 5860\58605860. What is the possible range for his salary?
- On Garret's basketball team, the average scores of the players are between 777 and 333333. Write an absolute value inequality describing the average scores.
- The average circumference of a basketball is 28.7528.7528.75 inches. The actual circumference may vary by at most 0.250.250.25 inches. What are the acceptable radii for the bask…
- Farmer Sean wants to make a perfect square area of crops. His estimates show that the amount of land should be 22,000 ft2^22, with an error margin of 300 ft2^22. What is the acc…
- On Expii island, the temperature never differs from twenty degrees Celsius by more than 5∘5^{\circ}5∘ Celsius. Given this information, what is the range of possible temperatures…
- A factory must produce 100000100000100000 parts per year with an error tolerance of 100010001000 parts. What is the least amount of parts the factory can make in a given year?
- At Stephenie's new company the average starting pay is 20,000\20,00020,000 but it could differ by up to 9,000\9,0009,000. What is the possible range for her salary?
- On Greta's basketball team, the average scores of the players are between 777 and 191919, inclusive. Write an absolute value inequality describing the average scores.
- The average circumference of a basketball is 272727 inches. The actual circumference may vary by at most 0.30.30.3 inches. What are the acceptable radii for the basketball? Roun…
- Farmer Sean wants to make a perfect square area of crops. His estimates show that the amount of land should be 15,000 ft2^22, with an error margin of 5,000 ft2^22. What is the a…
- Studious Serena is studying for an exam, on which she hopes to score a 95%95\%95%. However, if her score differs by up to 5%5\%5% in either direction, she will still get an A. W…
- B-student Bobby is studying for an exam, on which she hopes to score an 85%85\%85%. However, if his score differs by up to 5%5\%5% in either direction, he will still get a B. Wh…
- Kanye just released a new song and is aiming to get 1,000,0001,000,0001,000,000 listens in 242424 hours. The next day, his manager tells him that the number of listens differed …
- Hollywood just released a new blockbuster movie and is aiming to get 5,000,0005,000,0005,000,000 views in the first week. It was predicted by the critics that the number of view…
- Suppose a particular comet has a projected path that passes through the center of Earth. Due to the Earth's gravitational pull, if the comet passes within 20,000 miles of Earth'…
- A (fictional) species of bacteria can only survive in extreme temperatures. The temperature must be at least 80∘80^{\circ}80∘F away from the mild temperature of 50∘50^{\circ}50∘…
- A species of sloth can only survive in moderate temperatures. The temperature cannot be more than 30∘30^{\circ}30∘F away from the mild temperature of 50∘50^{\circ}50∘F. Express …
- A certain school has a special education program open to students who are doing very well in school as well as students who are struggling. A student qualifies for this program …
- A certain school has a special education program open to students who are doing very well in school as well as students who are struggling. A student qualifies for this program …
- If ∣x∣≥b|x| \ge b∣x∣≥b, then which two of the following may be true?
- If ∣x∣≤b|x| \le b∣x∣≤b, then which two of the following must be true?