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Mastering Compound Inequalities and Graphing Techniques

This resource covers essential concepts of solving and graphing compound inequalities. It includes definitions of inequality symbols, how to represent them graphically, and key differences between conjunctions and disjunctions. Readers will learn to solve specific inequality problems, translate word problems into mathematical statements, and effectively graph these inequalities. Additionally, practical examples like the Dysons’ patio dimensions provide context for understanding real-world applications of mathematics. Perfect for students seeking to strengthen their skills in algebra.

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Mastering Compound Inequalities and Graphing Techniques

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  1. Jeopardy

  2. Symbols Graphing Solving Compound Miscellaneous 100 100 100 100 100 200 200 200 200 200 Jeopardy 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

  3. What symbol is >?

  4. When naming an inequality symbol the variable is assumed to be located where?

  5. Show all of the inequality symbols.

  6. What symbol is used for at most?

  7. Name three phrases that represent

  8. What does a closed circle shaded left represent?

  9. Name the inequality graphed below. -5 -4 -3 -2 -1 0 1 2

  10. Graph 8X-6>18

  11. Name the solution to the graph below. 2 3 4 5 6 7 8 9

  12. Name the solution to the conjunction below. 7 8 9 10 11 12 13 14

  13. Solve X+8>6

  14. Solve 8+3m<5m-2

  15. Solve

  16. Solve 3(x-3)+3>2(x-6)+3x

  17. Solve 3(2x+1)-4(x+1)<2x+3

  18. What is the difference between a conjunction and disjunction?

  19. What is the solution to the following disjunction? 2 3 4 5 6 7 8 9

  20. Graph 4<X+6<10

  21. Solve -15<-2b+5 or 2-b>-3

  22. Solve

  23. Explain how to graph

  24. Which compund inequality do you graph when you are looking for where both things are happening at the same time?

  25. If X>8 or x>10 then name the solution.

  26. Solve 13+5x>25+5x

  27. Graph an inequality that illustrates a baseball game lasting at least 2 hours and less than 3.5 hours.

  28. The Dysons are building a rectangular patio that is 12 ft long at at least 10 ft wide. Write and solve an inequality to find the patio area in square feet.

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