Inequality Word Problems 2
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 5 questions completed
Questions:
 1
 2
 3
 4
 5
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
 1
 2
 3
 4
 5
 Answered
 Review

Question 1 of 5
1. Question
Michael wants to buy a new 4K HD TV. The cheapest TV is advertised as `$1100`. He has saved `$300` already and has a parttime job earning `$160` per week. How many weeks will it take before he has saved up enough to buy the cheapest TV?Hint
Help VideoCorrect
Keep Going!
Incorrect
Identify the known values
`\text(Price of TV)= $1100``\text(Michael’s savings)= $300``\text(Earnings per week)= $160``\text(Number of weeks)= n`First, form an inequality from the problemSince Michael needs to save up at least `$1100` to buy the TV, he must keep earning `$160` per week until he has greater than or equal to `$1100`.Hence, the inequality can be written as:`300+160n` `≥` `1100` Next, make sure that only `n` is on the left side`300+160n` `≥` `1100` `300+160n` `300` `≥` `1100` `300` Subtract `300` from both sides `160n` `divide160` `≥` `800` `divide160` Divide both sides by `160` `n` `≥` `5` `n≥5` 
Question 2 of 5
2. Question
A hard drive holds about `75` hours of movie videos. So far it has `52` hours. You estimate that each movie is `2` hours long. How many movies can we transfer on top of the movies that are already in the hard drive?Hint
Help VideoCorrect
Fantastic!
Incorrect
Identify the known values
`\text(Size of hard drive)= 75``\text(Hours already on hard drive)= 52``\text(Number of hours per movie)= 2``\text(Number of movies)= n`First, form an inequality from the problemSince the hard drive only has a capacity of `75` hours, the total number of `2` hour movies to be added on top of the `52` hours worth that is already on the hard drive must be less than or equal to `75`.Hence, the inequality can be written as:`52+2n` `≤` `75` Next, make sure that only `n` is on the left side`52+2n` `≤` `75` `52+2n` `52` `≤` `75` `52` Subtract `52` from both sides `2n` `divide2` `≤` `23` `divide2` Divide both sides by `2` `n` `≤` `11.5` Since we can only add a whole movie and we cannot go over `75`, we need to round down the answer to `n≤11``n≤11` 
Question 3 of 5
3. Question
James currently weighs `108` kg. He wants to weigh less than `90` kg. If he can lose an average of `1 1/2` kg per week through exercise and diet, how long will it take to reach his goal?Hint
Help VideoCorrect
Well Done!
Incorrect
Identify the known values
`\text(Jame’s current weight)= 108 kg``\text(Jame’s goal)= 90 kg``\text(Weight lost per week)= 1 1/2 kg``\text(Number of weeks)= n`First, form an inequality from the problemSince James wants to weigh less than `90` kg, he must keep losing `1 1/2` every week until he weighs less than `90` kg.Hence, the inequality can be written as:`1081 1/2n` `<` `90` Next, make sure that only `n` is on the left side`1081 1/2n` `<` `90` `1081 1/2n` `108` `<` `90` `108` Subtract `108` from both sides `1 1/2n` `divide(1 1/2)` `<` `18` `divide(1 1/2)` Divide both sides by `1 1/2` `n` `>` `12` Flip the inequality `n``>``12` 
Question 4 of 5
4. Question
A mediumsized bag of potatoes weighs `1 ` kg more than a small bag. A large bag weighs `4` kg more than a small bag. If the total weight is at most `14` kg, what is the most that a small bag could weigh?Hint
Help VideoCorrect
Correct!
Incorrect
Identify the known values
`\text(Total weight of bags) =` maximum of `14``\text(Smallsized bag(S))= s``\text(Mediumsized bag(M))= s+1``\text(Largesized bag(L))= s+4`First, form an inequality from the problemThe total weight of the three bags must be less than or equal to `14` kg.Hence, the inequality can be written as:`S+M+L` `≤` `14` Next, make sure that only `n` is on the left side`S``+``M``+``L` `≤` `14` `s``+``s+1``+``s+4` `≤` `14` Substitute the known values `3s+5` `≤` `14` Combine like terms `3s+5` `5` `≤` `14` `5` Subtract `5` from both sides `3s` `divide3` `≤` `9` `divide3` Divide both sides by `3` `s` `≤` `3` `s≤3` 
Question 5 of 5
5. Question
Jack is flying an air balloon at an altitude of `16000` feet and is experiencing some bad weather. For him to fly safely, Jack needs to increase his altitude to at least `17000` feet or decrease his altitude to no more than `13000` feet. Form an inequality.The number lines below are scaled as `1:1000`ftHint
Help VideoCorrect
Exceptional!
Incorrect
A compound inequality consists of two inequalities joined together by AND or OR.First, form an inequality from the problemThe height of the balloon must be at least `17000` feet `h` `≥` `17000` The height of the balloon must be no more than `13000` feet `h` `≤` `13000` `h≥17000` OR `h≤13000`The first given inequality has a greater than or equal to (`≥`) sign.Hence, place a solid circle above `17000` and attach an arrow pointing to the right to represent all values greater than `17000`.The second given inequality has a less than or equal to (`≤`) sign.Hence, place a solid circle above `13000` and attach an arrow pointing to the left to represent all values less than `13000`.Finally, combine the two number lines.
Quizzes
 One Step Inequalities 1
 One Step Inequalities 2
 Two Step Inequalities
 MultiStep Inequalities 1
 MultiStep Inequalities 2
 Compound Inequalities 1
 Compound Inequalities 2
 Compound Inequalities 3
 Inequality Word Problems 1
 Inequality Word Problems 2
 Absolute Value Inequalities
 Graph Linear Inequalities 1
 Graph Linear Inequalities 2