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5.4 Solving Compound Inequalities

5.4 Solving Compound Inequalities. Objective: Solve compound inequalities containing the word and or or and graph their solution set. Compound Inequality. Two or more inequalities that are connected by the words and or or. Intersection.

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5.4 Solving Compound Inequalities

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  1. 5.4 Solving Compound Inequalities Objective: Solve compound inequalities containing the word and or or and graph their solution set.

  2. Compound Inequality • Two or more inequalities that are connected by the words and or or

  3. Intersection • The graph of a compound inequality containing the word and; the solution is the set of elements common to both inequalities. • ****TRUE ONLY IF BOTH INEQUALITIES ARE TRUE****

  4. Union • The graph of a compound inequality containing or; the solution is a solution of either inequality, not necessarily both • **** TRUE IF AT LEAST ONE OF THE INEQUALITIES IS TRUE****

  5. Solving Compound Inequalities • Separate the compound inequality into 2 inequalities • –2 x-3 < 4 becomes • -2 x-3 and x-3 < 4 • 2) Solve each inequality • 4) Find where the Graphs Intersect (and) or Union (or)

  6. Solve and Graph

  7. Solve and Graph and

  8. Solve and Graph OR

  9. Solve and Graph OR

  10. Solve and Graph

  11. Solve and Graph OR

  12. Journal Page 308 # 39

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