Practice Page
Directions: Solve the following inequalities for the designated variable. The students' hints may be helpful.

1.
Solve:    5x - 3 > 12
add3
       Choose:
 
x > 1.8
x < 1.8
x > 3
x < 3

 


2.
Solve:     3(2 + m) ge 15
distribute
       Choose:
 
m ge 5
m ge 3
mle 5
m le 3



3.
Solve:     2(5 - x) le 14
negx
      Choose:
 
x le -2
x le -12
x ge -2
x ge -12



4.
Solve:    -6x - 9 le 3
think6xx
       Choose:
 
x le -2
x le 1
x ge -2 x ge -1



5.
Solve:    ip5
cross
       Choose:
 
a ge -11
a ge -13
a le -11
a le -13



6.
Solve:     2 le -4 - 3x < 11
sandwich
       Choose:
 
x le -5 or x ge 2
x le -2 or x ge 5
  -2 le x le 5 -5 le x le -2

 


7.
Solve:     ip7
pic1
       Choose:
 
m geip7a
m ge ip7b
m le ip7b
m le ip7a



8.
Solve:    3(x + 3) > 4(x - 4)          
distribute
       Choose:
 
x > 25
x < 25
x > -7
x < -7



9.
Solve:     ip9
den
       Choose:
 
x < -4
x > -3.75
x < -3.75 x < 3.75



10.
Solve:     ip10
note
       Choose:
 
x ≠ -3
x ≠ 9
x ≠ 3
x ≠ -9



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