Review Sheet
Inequalities
Name_
I. Solve the following inequalities and graph their solution on the NUMBER LINE. 7. |x-4|>3 2.
8. |2x-6|<5
2|-3<5
3. 1*2
10. l < x ~ 7 < 4
x-3
s.
11. |x|-2x<6
x-2
6. |6x-7|>5
12. x-a-
II. Solve each of the following inequalities and graph their solution on the NUMBER LINE. If you use a calculator round your answers to the nearest thousandth. 1. x + 2>3x 2
6. x 4 -3x 2 -10>0
2. 3x2 + 2 x - 5 < 0
7. x 3 -8x 2 -9x>0
3. 9x 2 <4
8. (2x-l)(x+3Xx-4)2>0
4. x2 + 2x + 1 > 0
9. 4x 3 -3x 2 -9x-2<0
5. x 3 -2x 2 -3x<0
10. 6x 4 -x 3 -32x 2 + 5x+10<0
III. Give a set of inequalities that will define each of shaded regions shown below:
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