Name: 
 

Solving Absolute Value Inequalities



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Solve the given inequality. Graph the solution set on a number line.
 

 1. 

4m mc001-1.jpg 2 < 2 or 6m + 2 mc001-2.jpg 6
a.
{m | m < 1 or m mc001-3.jpg 0.67}
mc001-4.jpg
b.
{m | m < 1 or m mc001-5.jpg 0.67}
mc001-6.jpg
c.
{m | m mc001-7.jpg 1 or m mc001-8.jpg 0.67}
mc001-9.jpg
d.
{m | m < 1 or m mc001-10.jpg 0.67}
mc001-11.jpg
 

 2. 

m mc002-1.jpg 1< 7 and m + 2 mc002-2.jpg 8
a.
{m | m < 8 and m mc002-3.jpg 6}
mc002-4.jpg
b.
{m | m < 8 and m mc002-5.jpg 6}
mc002-6.jpg
c.
{m | m mc002-7.jpg 8 and m mc002-8.jpg 6}
mc002-9.jpg
d.
{m | m < 8 and m mc002-10.jpg 6}
mc002-11.jpg
 

 3. 

| m | mc003-1.jpg 10
a.
The solution set is {m | m mc003-2.jpg mc003-3.jpg10 or m mc003-4.jpg 10}.
mc003-5.jpg
b.
The solution set is {m | m < 10 or m > mc003-6.jpg10}.
mc003-7.jpg
c.
The solution set is {m | m < mc003-8.jpg10 or m > 10}.
mc003-9.jpg
d.
The solution set is {m | m < 10 or m > –10}.
mc003-10.jpg
 

 4. 

| p mc004-1.jpg 5 | mc004-2.jpg 9
a.
The solution set is {p | p > 14 or p < –4}.
mc004-3.jpg
b.
The solution set is {p | p > –4 or p < 4}.
mc004-4.jpg
c.
The solution set is {p | p > –4 and p < 14}.
mc004-5.jpg
d.
The solution set is {p | p > 9 or p < 5}.
mc004-6.jpg
 

 5. 

Which inequality has the solution set graphed below?
mc005-1.jpg
a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 

 6. 

Which is the solution set of mc006-1.jpg?
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 

 7. 

Which inequality has the empty set as its solution set?
a.
mc007-1.jpg
c.
mc007-3.jpg
b.
mc007-2.jpg
d.
mc007-4.jpg
 

 8. 

Which inequality has the set of all real numbers as its solution set?
a.
mc008-1.jpg
c.
mc008-3.jpg
b.
mc008-2.jpg
d.
mc008-4.jpg
 

 9. 

Which graph shows the solution set for mc009-1.jpg?
a.
mc009-2.jpg
c.
mc009-4.jpg
b.
mc009-3.jpg
d.
mc009-5.jpg
 



 
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