Inequalities Worksheet

1 a. Solve, and plot the solution set.



–9 – (–5)   ≤   k
5


 
 
 
 
 
 
 
 
1 b. Solve, and plot the solution set.



2 · (–7)   ≥   z
–11


 
 
 
 
 
 
 
 
2 a. Solve, and plot the solution set.



12 + (–5)   ≥   –3(v + 12)


 
 
 
 
 
 
 
 
2 b. Solve, and plot the solution set.



–10   <   1 – z


 
 
 
 
 
 
 
 
3 a. Solve, and plot the solution set.



11 + q   ≥   –7


 
 
 
 
 
 
 
 
3 b. Solve, and plot the solution set.



5(z + 7) + 2   ≥   8


 
 
 
 
 
 
 
 
4 a. Plot the inequality y ≥ 5.




 
 
 
 
 
 
 
 
4 b. Write the inequality that matches the graph.




 
 
 
 
 
 
 
 
5 a. Solve, and plot the solution set.



r – (–10)   ≤   –11


 
 
 
 
 
 
 
 
5 b. Plot the inequality x ≤ 4.




 
 
 
 
 
 
 
 
Page 2

Answer Key

1 a.

k ≥ –20
1 b.

z ≥ 154
2 a.

v ≥ –14 1/3
2 b.

z < 11
3 a.

q ≥ –18
3 b.

z ≥ –5 4/5
4 a.

y ≥ 5
4 b.

x ≤ 3
5 a.

r ≤ –21
5 b.

x ≤ 4


Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without permission. Copyright www.HomeschoolMath.net