Directions: Solve the following problems relating to multi-step inequalities. You will need paper and pencil for your work.

1.
Which of the following choices is the solution of
-4(x - 6) > 12 ?

Choose:
 x > 12 x < 3 x < -3 x > -12

2.
Which of the following choices is the solution to
?

Choose:
 x > -12 x > 12 x > 16 x > 48

3.
Solve for x:      2x - 6 - 7x < -24 + x

Choose:
 x < 5 x < -5 x > 3 x > -3

4.
Which inequality does NOT have the solution shown on this number line?
Choose:
 -2x < x + 2 - 11 -3(x + 1) < 6 -3x < -9 -5x - 2x < -17 - 4

5.
Which of the following graphs represents the solution set for the inequality 3(x + 5) > 8(x + 5)?
Choose:

6.
Solve for x:
Choose:
 x > ¼ x > ½ x > 1½ x > 1¾

7.
Solve for x:     5(3x + 1) > 15x + 5
Choose:
 x > 0 x > 1 x < 0 no solution

8.
Solve for x:     -2.5x + 4(1.5x - 3.5) < x + 4.5
Choose:
 x > 4.2 x < 4.2 x > 7.4 x < 7.4

9.
Which of the following choices is the solution to the inequality ?
Choose:
 x < 10 x > -10 x < -10 x > 10

10.
Which choice is the solution set for ?
Choose:
 x > - x < - x > - x < -