Name: 
 

Solving Inequalities



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the solution set on a number line.
 

 1. 

m + 4 mc001-1.jpg 7
a.
The solution set is {3}.
mc001-2.jpg
b.
The solution set is {m | m mc001-3.jpg 3}.
mc001-4.jpg
c.
The solution set is {m | m mc001-5.jpg 3}.
mc001-6.jpg
d.
The solution set is {m | m mc001-7.jpg 7}.
mc001-8.jpg
 

 2. 

5.4 mc002-1.jpg 2p mc002-2.jpg 0
a.
The solution set is {p | p mc002-3.jpg 5.4}.
mc002-4.jpg
b.
The solution set is {p | p mc002-5.jpg 2.7}.
mc002-6.jpg
c.
The solution set is {p | p mc002-7.jpg 2.7}.
mc002-8.jpg
d.
The solution set is {2.7}.
mc002-9.jpg
 

 3. 

p mc003-1.jpg mc003-2.jpg
a.
The solution set is mc003-3.jpg.
mc003-4.jpg
b.
The solution set is mc003-5.jpg.
mc003-6.jpg
c.
The solution set is mc003-7.jpg.
mc003-8.jpg
d.
The solution set is mc003-9.jpg.
mc003-10.jpg
 

 4. 

mc004-1.jpg
a.
The solution set is {6, mc004-2.jpg}.
mc004-3.jpg
b.
The solution set is {mc004-4.jpg, mc004-5.jpg}.
mc004-6.jpg
c.
The solution set is {mc004-7.jpg, mc004-8.jpg}.
mc004-9.jpg
d.
The solution set is {mc004-10.jpg, 6}.
mc004-11.jpg
 

 5. 

4m + 12 < 34
a.
The solution set is {m | m < mc005-1.jpg}.
mc005-2.jpg
b.
The solution set is {m | m < mc005-3.jpg}.
mc005-4.jpg
c.
The solution set is {m | m < mc005-5.jpg}.
mc005-6.jpg
d.
The solution set is {m | m < mc005-7.jpg}.
mc005-8.jpg
 

 6. 

8(11m + 6) mc006-1.jpg 10
a.
The solution set is {–0.43, mc006-2.jpg}.
mc006-3.jpg
b.
The solution set is {–0.43}.
mc006-4.jpg
c.
The solution set is {mc006-5.jpg, 0.43}.
mc006-6.jpg
d.
The solution set is {mc006-7.jpg, –0.43}.
mc006-8.jpg
 

 7. 

1mc007-1.jpg mc007-2.jpg 1
a.
The solution set is {m mc007-3.jpg –8}.
mc007-4.jpg
b.
The solution set is {m = –8}.
mc007-5.jpg
c.
The solution set is {m mc007-6.jpg –8}.
mc007-7.jpg
d.
The solution set is {m mc007-8.jpg –8}.
mc007-9.jpg
 



 
Check Your Work     Start Over