Absolute Value Inequalities Word Problems

Victor`s goal is to earn $75 per week at his afterschool job. Last month he was within $6.50 of his goal. Find the range of amounts that Victor might have earned last month.
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To fit correctly, the width of a machine part can vary no more than 0.01 millimeter from 2.5 millimeters. Write an absolute value inequality to find the acceptable width in millimeters for this machine part?
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The post office will charge for the packages, which weigh at least 1 pound and not exceeding 3 pound the same amount.
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Your supervisor allows you to "clockin" for your 8a.m. shift give or take 15 minutes. Let x=8 represent 8 a.m. and x=14.5 represent 2:30p.m.
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The absolute deviation of x from 6 is less than or equal to four.
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100 fish are caught, tagged and released. Later, 70 fish are caught and 8 of them are tagged. Approximately how many fish are there in the lake?
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In 90% of the last 30 years, the rainfall at Shell Beach has varied no more than 6.5 inches from its mean value of 24 inches. Write and Sold an absolute value inequality to describe the rainfall in the other 10% of the last 30 years.
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A car rental company has two rental rates. Rate 1 is $35 per day plus $0.16 per mile. Rate 2 is $50 per day plus $0.09 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2?
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for a door to meet specifications at a carpentry shop the width must be within 1/8 inch of the expected width of the door. the shop gets an order for doors that are 3/1/2 feet wide. Which of the following is an inequality that expresses the range of widths for acceptable doors?
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a length of 4.2 cm with a tolerance of 0.01 cm
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Most fish can adjust to a change in the water temperature of up to if the change is not sudden. Suppose a lake trout is living comfortably in water that is Write an absolute value inequality that represents the range of temperatures at which the lake trout can survive.
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the grades for a course are based on 5 exams and 1 final. All six of the tests are worth 110 points. In order to receive an A in the course you must earn at least 550 points. Your grades on the 5 exams are as follows: 88, 96, 93, 82, 90. Write an inequality that represents the various grades you can earn on the final and still get an A. Solve the inequality
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The specifications for machined parts are given with tolerance limits. For example, if a part is to be 6.8 cm thick, with a tolerance of .01 cm, this means that the actual thickness must be at most .01 cm, greater than or less than 6.8 cm. Between what 2 two thicknesses is the dimension of the part acceptable? Write an absolute value equation using "d" as the variable. Write, as well, the set notation, and interval notation that models this situation.
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90% of the time, rainfall in Seal Beach has not varied more than 6.5" from its mean value of 24". Write an absolute value inequality to describe the rainfall in the other 10%.
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mrs. hays has promised her two teenagers tto a concert if together they save more than $25.00 of their spending money. the older teenager agrees to save twice as much as the younger . how much must ech save?
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Determine what kind of number can be divisible by 2 0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30. What do you notice?
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Katie wants to buy the newest barbie doll set she only has $5 saved how much does katie needs to have before she can buy the barbie if it cost $24 ?
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If the average temperature in Hawaii is 83 degrees Fahrenheit plus or minus 15 degrees, write an absolute value inequality representing the temperature in Hawaii.
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Akram drove from Rochester to Albany, a distance of 219 miles. AFter the first 1.5 hours of travel, it began to snow and he reduced his speed by 26 miles per hour. It took him another 3 hours to complete the trip.
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Reginald`s cement truck can travel up to 300 miles on a single tank of gas. Reginald has driven 246 miles so far today, and now he has to make a delivery to a construction site that is 30 miles away. Write and solve an inequality to determine whether Reginald will be able to get to the construction site and back without having to fill his gas tank.
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A binary search repeatedly dvides records of a sorted file in half until the corret record is found. For example, to find data in record 6 of an 8record file, the binary search will examine records 18, then it would narrow the search to records 58, then 56, then locate the data in record 6. Write absolutevalue statements for the records searched in the first three search intervals.

Bev was offered plan A: a flat salary of $2200 semimonthly or plan B: $1800 semimonthly plus a 5% commission of her sales. If Bev were confident that she could regularly bring in $9200 per month in sales. How much more can she expect to make with the better plan?

During the first 20 miles of a 50 mile bike race, Roger`s average speed was 16 miles/hour. What must his average speed be during the remainder of the race if he is to finish the race in less than 2.5 hours?


Most fish can adjust to a change in the water temperature of up to 15 degrees Fahrenheit if the change is not sudden. suppose a lake trout is living comfortably in water that is 58 degrees fahrenheit. Write an absolute value inequality that represents the range of temperature at which the lake trout can survive.

spend no less than $6000 and no more than $10,000

If a discount of 20%off the retail priceof a desk saves Mark $45.00, how much did he pay for the desk?

two trains starting at the same location, travel in opposite directions> One train travels at 90mph and the other at150mph. After some time the trains are more than 700 miles from each other.

Of the 50 u.s. states 30 states border a major body of water and 14 states border a foreign country. Seven states border both a major body of water and a foreign country. How many states border on just a major onbody of water and how many border on just a foreign country?

Of the 50 u.s. states 30 states border a major body of water and 14 states border a foreign country. Seven states border both a major body of water and a foreign country. How many states border on just a major on body of water and how many border on just a foreign country?

Roschelle owns a car and a moped. she has at most 12 gal of gasoline to be used between the car and moped. the cars tank holds at most 18 gal and the moped`s 3 gal. the mileage for the car is 20 mpg and for the moped is 100 mpg. how many gallons of gasoline should each vehicle use if roschelle wants to travel as far as possible. what is the maximum number of miles?


A square floor is tiled with black and white square tiles. The tiles on the two diagonals are black. If there are 101 black tiles in the floor, what is the total number of tiles in the floor?

The weather forecaster stated that the temperature has changed 20 degrees F over the past 6 hours. If the temperature is now 67 degrees F, write an expression using abolute values showing the possible values of the temperature 6 hours ago. What are those values?

the average numbers of cucumber in a pakage is 25. The nuber of seens in a the pakage can vary by 3. find the range of acceptable numbers of seeds in each package..

The organizers of a drama club wanted to sell 350 tickets to their show. The actual sales were no more than 35 tickets from this goal. Write and solve an absolute value inequality to find the range of the number of tickets that may have been sold.

Ball bearings are produced in a factory. A ball bering is acceptable if its diameter is within 3mm of the target of 50 mm. Let x represent the diameter of a ball bearing. Write an absolute value inequality that represents the range of diameters that are acceptable.

42% of the population supports mayor , margin of error is < 4%. actual percentage of population is p. find the equation