Practice with Solving and Graphing Inequalities

Complete these exercises and check your answers.

Solve and Graph Inequalities

Draw a graph for each inequality and give interval notation.

1. n>-5

3. -2 \geqslant k

5. 5 \geqslant x


Write an inequality for each graph.

7.

9.

11.


Solve each inequality, graph each solution, and give interval notation.

13. \frac{x}{11} \geqslant 10

15. 2+r

17. 8+\frac{n}{3} \geqslant 6

19. 2>\frac{a-2}{5}

21. -47 \geqslant 8-5 x

23. -2(3+k)

25. 18

27. 24 \geqslant-6(m-6)

29. -r-5(r-6)

31. 24+4 b

33. -5 v-5

35. 4+2(a+5)

37. -(k-2)>-k-20


Source: Tyler Wallace, http://www.wallace.ccfaculty.org/book/Beginning_and_Intermediate_Algebra.pdf
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