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- Linear Inequalities
Compound inequalities
- Intro Lesson3:51
- Lesson: 17:28
- Lesson: 24:34
- Lesson: 35:28
- Lesson: 47:43
- Lesson: 54:23
- Lesson: 65:39
- Lesson: 73:05
- Lesson: 82:31
Compound inequalities
Lessons
If the relationship between the compound inequalities is OR and they point towards the same direction, you will pick the inequality which has a broader range.
If the relationship between the compound inequalities is AND and they point towards the same direction, you will pick the inequality which has a narrower range.
When you multiply or divide a negative number, the inequality symbol will be reversed.
- IntroductionIntroduction to compound inequalities
i. Recap of inequalities symbols
ii. Ideas of AND and OR
- 1.Evaluate Compound Inequalities: OR
Solve the following compound inequalities:
4x−16 < 16 OR 8x+15≤−1
- 2.Solve the following compound inequalities:
4x+5 < 13 OR 3x > 39
- 3.Evaluate Compound Inequalities: AND
Solve the following compound inequalities:
4x+30 > 34 AND 12x−6 > 18
- 4.Solve the following compound inequalities:
−6x+2 > 20 AND 13x+11≤50
- 5.Analyze the Alternate Form of Compound Inequalities: AND
Solve the following compound inequalities:
−5≤3x+1≤7
- 6.Solve the following compound inequalities:
−14 < 1−5x≤11
- 7.Special Cases: No solution, All Real Numbers
Solve the following compound inequalities:
3x−3 < 9 AND 6x+1 > 37
- 8.Solve the following compound inequalities:
5x+6 < 36 OR −3x≤18