Absolute Value Inequalities Word Problems

A company makes boxes of crackers that should weigh 213g. A quality control inspector randomly selects boxes to weigh.  Any box that varies from the weight by more than 5g is sent back. What is an equation that shows the range of allowable weights for a box of crackers and what is the range?

• |w - 213| ≤ 5,         208 ≤ w ≤ 218

• |w - 213| ≤ 5,                   0 ≤ w ≤ 10

• |w - 5| ≤ 213,         208 ≤ w ≤ 218

• |w - 5| ≤ 213,                   0 ≤ w ≤ 10

• 690

• 6

• 696

• -6

• 5

• 4

• 3

• 2

• 1

• 689

John is looking for a job after graduation. The salary which he is satisfied with must be $3000 with a tolerance of $500. Which of the following inequalities can be used to assess which if his salary is tolerable? (m is the measure of the salary)

• |m - 500| ≤ 3000

• |m - 500| ≥ 3000

• |m - 3000| ≥ 500

• |m - 3000| ≤ 500

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|-20=0.03

• |v-20|=0.03

• |v|-0.03=20

• |v-0.03|=20

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

• x > 11 or x < 5
• x > - 11 or x > 5
• 5 < x < 11
• - 5 < x < 11

Solve the inequality.

• A

• B

• C

• D

Solve the inequality.

• A

• B

• C

• D

Solve the inequality.

• A

• B

• C

• D

Solve the inequality.

• A

• B

• C

• D