Compound Inequalities (3.3)
Compound Inequalities Practice
Match the graph with its inequality.   Write the letter
in the blank.
Push "ok" only after you have filled in all the blanks!  
-5                        0                        5  
-5                        0                        5  
-5                        0                        5  
-5                        0                        5  
3
1.
2.
4.
a.  x ≥ 5b.  x ≤ -5
c.  -5 ≤ x ≥ 5
d.  x ≥ 5 or x ≤ -5
5.  Solve
8 < 2x < 12
4 < x < 10
3 < x < 5
4 < x < 7
4 < x < 6
6.  Which inequality says that     x is greater than -3 and less than 5?
-3 > x < 5
5 < x > -3
-3 < x < 5
5 < x < -3
7.  Solve
-17 ≤ 8x - 1 ≤ 23
-2 < x < 3
-2 ≤ x ≤ 3
2 ≤ x ≤ 3
2 ≤ x ≤ 4
8.  Solve
6 < -3x < 9
-2 < x < -3
2  < x < 3
-3 < x < -2
3 < x < 2
a
b
c
d
9.  Which graph shows -2 < x < 3?
-8    -6     -4    -2      0       2      4      6      8
-8    -6    -4   -2     0     2      4      6      8
-8    -6     -4    -2      0       2      4      6      8
-8    -6     -4    -2      0       2      4      6      8
answer:
10.  Solve
-3x > 21 or 4x + 2 > 10
x > 2 or x < -7
x > -7 or x > 2
-7 < x < 2
-7 < x < 3
11.  Solve
4x < 2x + 6      or      -5x - 4 < -29
x < 3 or x < 5
3 < x < 5
x < 3 or x > 5
5 < x < 3
12.  Solve
x
2
> 4       or       5 - x > 9
x > 8 or x < -4
x > 2 or x > -4
x > 8 or x < -14
x > 8 or x < 14
13.  Which inequality is the same as "pick a number between 0 and 10"?
0 ≤ x ≤ 10
0 < x < 10
x > 0 or x > 10
x > 0 or x < 10
0 < x < 10
a
b
c
d
14.  Which is the solution for        5x < 10 or x + 3x > 24?
0       1        2       3       4        5       6       7       8
0       1        2       3       4        5       6       7      8 
0       1        2       3       4        5       6       7       8
0       1        2       3       4        5       6       7     8
answer:
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