Solve and Graph Absolute Value Inequalities

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

Which graph represents the solution to the absolute-value inequality:

I 2x - 11 I < 21

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Answer explanation

Remember what sort of graph < means for absolute-value.

Which graph represents the solution to the absolute-value inequality:

I 3x + 9 I > 27

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Answer explanation

Remember what sort of graph > means for absolute-value.

Solve.
3|d - 4| = 12

• d = -8 or d = 0

• no solution

• d = 8 or d = 0

• d = 40 or d = 32

Solve.

Solve.

What has to be done first in order to solve this inequality?

• subtract 3 from both sides

• distribute the 3

• divide both sides by 3

• nothing

Solve for x
∣ -2x + 9 ∣ > 15

• x<-3 or x>12

• -3 < x < 12

• x<-3 and x>12

• -3 < x > 12

Solve the absolute Value inequality and graph. 

• A

• B

• C

• D

Solve the absolute Value inequality and graph. 

• A

• B

• C

• D