Inequalities Worksheet

1 a. Solve, and plot the solution set.



8a + 11   <   12


 
 
 
 
 
 
 
 
1 b. Solve, and plot the solution set.



6(v + 9) + 2v   ≤   5


 
 
 
 
 
 
 
 
2 a. Solve, and plot the solution set.



–7 · (–4)   <   8 + s


 
 
 
 
 
 
 
 
2 b. Plot the inequality d < 11.




 
 
 
 
 
 
 
 
3 a. Solve, and plot the solution set.



–5(g – 8)   <   –9 · 4


 
 
 
 
 
 
 
 
3 b. Solve, and plot the solution set.



–7(n – 4)   <   –10 · (–11)


 
 
 
 
 
 
 
 
4 a. Solve, and plot the solution set.



–8(z – 2) + 0z   ≤   1


 
 
 
 
 
 
 
 
4 b. Solve, and plot the solution set.



–4   <   1 – (–3)u


 
 
 
 
 
 
 
 
5 a. Solve, and plot the solution set.



5(c – 9)   >   4


 
 
 
 
 
 
 
 
5 b. Solve, and plot the solution set.



2(v + 9) – 9v   ≤   –2


 
 
 
 
 
 
 
 
Page 2

Answer Key

1 a.

a < 1/8
1 b.

v ≤ –6 1/8
2 a.

s > 20
2 b.

d < 11
3 a.

g > 15 1/5
3 b.

n > –11 5/7
4 a.

z ≥ 1 7/8
4 b.

u > –1 2/3
5 a.

c > 9 4/5
5 b.

v ≥ 2 6/7


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