Absolute Value Equations and Inequalities Word Problems

Save your answer to this question, you will need it for the next problem! Bottles filled in a bottling plant are advertised as being filled with 250 ml of orange juice. This is known as the spec value. The customers of this plant will tolerate volumes that differ from this spec value by up to 20 ml. Which of the following inequalities represents the volumes "V" of orange juice per bottle that will be accepted by this plant’s customers?

Save your answer to this question, you will need it for the next problem! The radius ( r ) of the gears produced at a factory must be 6 inches in length with an error tolerance of 0.1 inches. This means a gear with a radius that differs from 6 in. by more than 0.1 in. will be thrown out. Which of the following inequalities represents the values of "r" that would lead to a gear being thrown out?

Your have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. Write an absolute value equation to model this situation.

• |x - 50|=15

• |x + 15|=50

• |x + 50|=15

• |x - 15|=50

A company sells 20-ounce bottles of sports drink. The actual volume of liquid in the bottle must be within 0.03 ounces. What equation can be solved to find the minimum and maximum volume of liquid in a bottle.

• |v - 0.03|=20

• |v - 20|=0.03

• |v + 0.03|=20

• |v + 20|=0.03

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D

• 0

• -4/3 and -8/3

• -4/3

• { }, no solution

• a

• b

• c

• d

• v>5 or v<-5
• v≥5 or v≤-5
• v>-5 or v<5
• all real numbers