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4.4 notes

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4.4 notes

  1. 1. 4.4 Solve Compound Inequalities Compound inequality: consist of two inequalities joined by and or or.
  2. 2. “And” or “Or” problems “And” “Or”-5 < x < 2 x < 3 or x > 6
  3. 3. Example 1 Write and graph compound inequalitiesTranslate the verbal phrase into an inequality. Thengraph the inequality.a. All real numbers that are greater than –2 and less than 3Inequality: –2 < x < 3Graph:
  4. 4. Example 1 Write and graph compound inequalitiesTranslate the verbal phrase into an inequality. Thengraph the inequality.b. All real numbers that are less than 0 or greater than or equal to 2Inequality: x < 0 or x ≥ 2Graph:
  5. 5. “And”Solve the inequality. Graph your solution. –7 < x – 5 < 4 10 ≤ 2y + 4 ≤ 24
  6. 6. “OR”Solve the inequality. Graph your solution.9. 3h + 1 < –5 or 2h – 5 > 710. 4c + 1 ≤ –3 or 5c – 3 > 17

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