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Alg 1 ch. 3.5 Compound Inequalities

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Alg 1 ch. 3.5 Compound Inequalities Alg 1 ch. 3.5 Compound Inequalities Presentation Transcript

  • Agenda 11/1 Do Now Quarterly results Notebook quiz tomorrow! Homework 26 p. 163 - 165 # 1 - 4, 21, 22, 34 - 37
  • F T T T T T F F F F F
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  • COMPOUND INEQUALITIES ... ... with "AND" ·graph the intersection of each inequality ·all values of x which make both inequalities true ... with "OR" ·graph both ·all values of x which make either inequality true Click for Example Click for Example View slide
  • x < 4 and x > -2 graph all #s that satisfy both inequalities Another way to write this: -2 < x < 4 PRACTICE 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10
  • x ≥ 2 or x ≤ -1 graph both PRACTICE -1 0 -2 -3 -4 -5 1 2 3 4 5
  • x > -2 and x < 4 5 < n ≤ 10 m ≥ 0 and m ≤ 7 -8 ≤ p < -4 BACK 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10
  • MORE x < 4 or x > 8 x >5 or x < 0 m ≤ 3 or m ≥ 6 n < 2 or n ≥ 8 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10
  • What is the inequality? x < - 5 or x > 0 x ≥ - 4 and x ≤ 3 x < - 6 or x > 2 x > - 6 and x ≤ 3 - 4 ≤ x ≤ 3 - 6 < x ≤ 3 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 1 0 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10