Inequalities Worksheet

1 a. Solve, and plot the solution set.



–5a + 8   <   –4


 
 
 
 
 
 
 
 
1 b. Solve, and plot the solution set.



7   ≥   –7 k
7


 
 
 
 
 
 
 
 
2 a. Solve, and plot the solution set.



–8(q – 4)   ≥   –12


 
 
 
 
 
 
 
 
2 b. Solve, and plot the solution set.



6   ≤   3(q – 5)


 
 
 
 
 
 
 
 
3 a. Plot the inequality t > –11.




 
 
 
 
 
 
 
 
3 b. Solve, and plot the solution set.



2   <   s
–9


 
 
 
 
 
 
 
 
4 a. Solve, and plot the solution set.



1   ≥   –2 – c
–10


 
 
 
 
 
 
 
 
4 b. Solve, and plot the solution set.



9   ≤   4a – 6a


 
 
 
 
 
 
 
 
5 a. Plot the inequality y ≤ 0.




 
 
 
 
 
 
 
 
5 b. Solve, and plot the solution set.



–11   ≥   –5d – 12


 
 
 
 
 
 
 
 
Page 2

Answer Key

1 a.

a > 2 2/5
1 b.

k ≥ –7
2 a.

q ≤ 5 1/2
2 b.

q ≥ 7
3 a.

t > –11
3 b.

s < –18
4 a.

c ≤ 8
4 b.

a ≤ –4 1/2
5 a.

y ≤ 0
5 b.

d ≥ –1/5

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