Solving Inequalities Word Problems - Examples & Practice
Read this topicExplanations 3
- Solving Word Problems Involving Inequalities Inequality word problems will always involve comparisons. In real life, you might use inequalities to decide which of two options is…
By Alex Federspiel, Zora Gilbert, Amy Feraco, Jonathan Heller, Caroline K, Anusha Rahman
- (Videos) Solving Word Problems Involving Inequalities by PatrickJMT This video by Patrick JMT works through an inequality word problem. There is another video with a second exam…
By Ben Ferrara, Alex Federspiel, Amy Feraco, Jonathan Heller, Caroline K, Anusha Rahman
- Inequality Word Problems The key to word problems is translating the given information into math. In this case, we need to translate word problems into statements of inequality.…
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Vatsal Ojha, Jonathan Heller, Caroline K, Anusha Rahman
Problems 26
- An apple tree has 303030 pounds of apples at sunrise. Every day, xxx pounds of apples are eaten by birds, and every night, the amount of apples on the tree grows by 20%20\%20%. …
- Anna is decorating for a surprise party for her friend. Streamers cost 4\44 and a pack of balloons cost 6\66. She has, at most, 36\3636 to spend. Which graph represents how many…
- Cooper wants to drive to a writing conference. He needs to rent a car to do so and there's two companies. Company 1 charges him 30\3030 flat rate and 0.08\0.080.08 for each addi…
- Harry is renting a car for his vacation trip. It costs 133\133133 to rent and 0.12\0.120.12 per mile he drives. Out of the choices below, what is the farthest Harry can drive, i…
- Josh's new laptop screen has a width 22 inches less than twice the length. The perimeter is at least 46 inches. Find the minimum dimensions of the laptop's screen in integers.
- A PS4 and a game cost at least 400\400400. The PS4 costs 160\160160 more than four times the price of the game. What is the least amount the game could cost?
- The sum of two consecutive integers is less than 42. Find the pair of such integers with the greatest possible sum.
- Sara's grade for class is based off three exams of equal weight. If she got a 72 and 84 on the first two exams, what is the the smallest grade she can get on the third test to g…
- Find the smallest possible three consecutive integers such that the difference of the squares of the middle integer and the least integer exceeds the largest integer by more tha…
- Your monthly take home pay is 3000\{3000}3000. Of that money, 2000\{2000}2000 is spent on bills, taxes, and groceries, 93\{93}93 on gas, and 300\{300}300 on savings. Which of th…
- You are at the store and are allowed to buy 8 snacks. You've already selected 2 snacks. Find an inequality describing the possible amount of snacks you can still buy, xxx.
- An equestrian wants to buy more horses. Every horse she buys requires 2 acres of land. If she has 20 acres of land, write an inequality representing the possible number of horse…
- You are planning a surprise party for your friend with a budget of 300\{300}300. You've already spent 175\{175}175 on renting a space and 33\{33}33 on decorations. What inequali…
- Suppose you have xxx dollars in your bank account. You spent 23\2323 but have at least 29\2929 left. How much money did you have initially? Write and solve an inequality that re…
- Caroline's mom gave get a budget of 400\400400 to spend on school clothes. She already spent 90\9090 on new shoes and 120\120120 on pants. Caroline sees that the dress shirts ar…
- Five times the sum of a number and 161616 is at least 120120120. Letting xxx represent the number, find the inequality that represents this situation?
- While planning, Robert writes down the inequality 8w+6x≥1508w+6x \geq 1508w+6x≥150 to see whether he has enough tables to seat all the guests. Which of the following represents …
- Lea is training to run a marathon. She knows that one-fifteenth the speed of a bullet train (375375375 mph) multiplied by, her speed plus sixteen miles per hour, is less than or…
- Lake Wobegon is an average town with 100100100 residents. Lake Wobegon's residents vary in age, build, and height. What is the largest number of Lake Wobegon residents that can …
- If an isosceles triangle has a perimeter of 40 units, what is the number of possible combinations for the base (unique) side of the triangle, assuming all sides have length that…
- It's almost Christmas! You're decorating your Christmas tree and have 888 ornaments on hand. They are all the same weight, except for one, which is slightly heavier. You need to…
- How many boxes do each club member have to pre-sell? Find the inequality that represent the situation.
- A grocery store recently purchased 500 bags of gummies at 80 cents per bag. How much do they have to sell each bag of gummies (in dollars) at to make over 250 dollars?
- Your friend and baseball superstar Bryce is trying to break the record batting average of 0.426. If he is expecting to have 450 at bats in this season, how many hits does he nee…
- The Pittsburgh Pirates play the St. Louis Cardinals on April 1, 2019 (see here for more info). Let's say the probability of the Pirates winning this game is PPP. Then we define …
- Spider Man is preparing for another day of heroic adventures. He has on his agenda to climb up 161616 different buildings in the city. If xxx is some number greater than 10,10,1…