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Homework 26
p. 163 - 165 # 1 - 4, 21, 22, 34 - 37
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
x < 4 and x > -2
graph all #s that satisfy both inequalities
10 2 3 4 5 6 7 8 9 10-1-2-3-4-5-6-7-8-9-10
Another way to write this:
-2 < x < 4
PRACTICE
x ≥ 2 or x ≤ -1
graph both
-1 0-2-3-4-5 1 2 3 4 5
PRACTICE
x > -2 and x < 4
5 < n ≤ 10
m ≥ 0 and m ≤ 7
-8 ≤ p < -4
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-2-3-4-5-6-7-8-9-10
BACK
x < 4 or x > 8
x >5 or x < 0
m ≤ 3 or m ≥ 6
n < 2 or n ≥ 8
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
MORE
What is the inequality?
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
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
What is the inequality?
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
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

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Alg 1 ch. 3.5 Compound Inequalities

  • 1. Agenda 11/1 Do Now Quarterly results Notebook quiz tomorrow! Homework 26 p. 163 - 165 # 1 - 4, 21, 22, 34 - 37
  • 3.
  • 4. 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
  • 5. x < 4 and x > -2 graph all #s that satisfy both inequalities 10 2 3 4 5 6 7 8 9 10-1-2-3-4-5-6-7-8-9-10 Another way to write this: -2 < x < 4 PRACTICE
  • 6. x ≥ 2 or x ≤ -1 graph both -1 0-2-3-4-5 1 2 3 4 5 PRACTICE
  • 7. x > -2 and x < 4 5 < n ≤ 10 m ≥ 0 and m ≤ 7 -8 ≤ p < -4 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 10 2 3 4 5 6 7 8 9 10-1-2-3-4-5-6-7-8-9-10 BACK
  • 8. x < 4 or x > 8 x >5 or x < 0 m ≤ 3 or m ≥ 6 n < 2 or n ≥ 8 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 MORE
  • 9. What is the inequality? 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 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
  • 10. What is the inequality? 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 10 2 3 4 5 6 7 8 9 10-1- 2 -3-4-5-6-7-8-9-10 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