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Understanding Conjunctions and Disjunctions in Compound Sentences

This lesson focuses on compound sentences formed by conjunctions and disjunctions, vital concepts in inequalities. A conjunction connects two inequalities using the word "and" and is denoted similarly to an intersection. We'll explore key examples and how to graph them, such as x > -3 and x < 7, represented as -3 < x < 7. Conversely, disjunctions connect inequalities using "or," akin to a union. Examples, exercises, and graphical representations will help solidify your understanding.

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Understanding Conjunctions and Disjunctions in Compound Sentences

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  1. 9.2 Compound Sentences Goal(s): Solve and Graph Conjunctions and Disjunctions

  2. Conjunction: x >-3 and x < 7 • Formed by connecting two inequalities with the word “and” • Similar to an Intersection “” • Usually written:-3 < x < 7 • Graph is:

  3. Graph A={x|x > -5} B={x|x < 8} “Conjunction”

  4. Graph A={x|x  -8} and B={x|x  5} “Conjunction”

  5. x > 5 and x  12 • Called a “conjunction” • Formed by connecting two inequalities with the word “and” • Similar to an Intersection “” • Graph: 0 5

  6. Graph the Conjunctionx  -2 and x < 10

  7. Graph the Conjunctionx < 5 and x > 2

  8. Graph the Conjunctionx < -5 and x > 2

  9. Graph the Conjunctionx < -5 and x < 2

  10. Solve and graph:-6 < 2x + 4 < 10

  11. Solve and graph: -6 <-5x + 4 < 4 Reverse inequality when divide by negative

  12. +6 +6 +6 Solve and graph:-18 <3x - 6 < -3

  13. Write the inequality shown by this graph:

  14. Write the inequality shown by this graph:

  15. Disjunction: x <-3 or x > 7 • Formed by connecting two inequalities with the word “or” • Similar to a Union “” • Always written with “or ” • Graph is:

  16. Graph the disjunction:

  17. Graph the disjunction:

  18. Solve and graph : or

  19. Solve and graph : or

  20. Write the inequality graphed :

  21. Assignment:Page 408 (2-42) even

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