Inequalities Test

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Algebra I Best of Luck to_______________________

Test Date _______________ Period ________

SSoollvviinngg IInneeqquuaalliittiieess

Determine whether each inequality is a one-step, two-step or multi-step inequality. Then solve
and graph each inequality accordingly. Make sure you interpret your results. (Ex: x > 2, the
solution is all real numbers greater than 2)

1. 64 d 2. 312  x

Graph: Graph:

Interpretation:___________________________ Interpretation:___________________________

3. )2(539  xx 4. 1

2

3

2
y

Graph : Graph :

Interpretation:___________________________ Interpretation:___________________________

5. 104
4

3
x 6. )1(48  x

Graph : Graph :

Interpretation:___________________________ Interpretation:___________________________

7. 98  w 8. m
3

1
11 

Graph : Graph :

Interpretation:___________________________ Interpretation:___________________________

9. 46  c 10. 55  s

Graph : Graph :

Interpretation:___________________________ Interpretation:___________________________

11. 6212  x 12.
21

3
5

7

4
 x

Interpretation:___________________________ Interpretation:___________________________

13. )6(32)124(
2

1
xx  14.  4

2

3
15  x

Graph : Graph :

Interpretation:___________________________ Interpretation:___________________________

15. nn 2)3(5  16. 1234  yy

Graph : Graph :

Interpretation:___________________________ Interpretation:___________________________