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. \(2+r<3\)

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

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

21. \(-47 \geqslant 8-5 x\)

23. \(-2(3+k)<-44\)

25. \(18<-2(-8+p)\)

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

29. \(-r-5(r-6)<-18\)

31. \(24+4 b<4(1+6 b)\)

33. \(-5 v-5<-5(4 v+1)\)

35. \(4+2(a+5)<-2(-a-4)\)

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

Source: Tyler Wallace, http://www.wallace.ccfaculty.org/book/Beginning_and_Intermediate_Algebra.pdf
Creative Commons License This work is licensed under a Creative Commons Attribution 3.0 License.