Review Worksheet

  • June 2020
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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:

(0.4J-

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