Inequalities Worksheet

1 a. Plot the inequality u < –5.




 
 
 
 
 
 
 
 
1 b. Solve, and plot the solution set.



–12   <   x
–7


 
 
 
 
 
 
 
 
2 a. Write the inequality that matches the graph.




 
 
 
 
 
 
 
 
2 b. Solve, and plot the solution set.



z + 4   <   –10
–9


 
 
 
 
 
 
 
 
3 a. Plot the inequality q < 5.




 
 
 
 
 
 
 
 
3 b. Solve, and plot the solution set.



2   <   –6(6 – x)


 
 
 
 
 
 
 
 
4 a. Solve, and plot the solution set.



11   <   9(p – 3)


 
 
 
 
 
 
 
 
4 b. Solve, and plot the solution set.



–4 · (–3)   ≥   t – (–7)


 
 
 
 
 
 
 
 
5 a. Solve, and plot the solution set.



6 p   ≤   –10
–5


 
 
 
 
 
 
 
 
5 b. Solve, and plot the solution set.



–8 · (–9)   ≥   k – (–2)


 
 
 
 
 
 
 
 
Page 2

Answer Key

1 a.

u < –5
1 b.

x < 84
2 a.

x > –10
2 b.

z > 86
3 a.

q < 5
3 b.

x > 6 1/3
4 a.

p > 4 2/9
4 b.

t ≤ 5
5 a.

p ≥ 8 1/3
5 b.

k ≤ 70


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