Compound inequalities
Intros
Lessons
Examples
Lessons
- Evaluate Compound Inequalities: OR
Solve the following compound inequalities:
4x−16 < 16 OR 8x+15≤−1
- Solve the following compound inequalities:
4x+5 < 13 OR 3x > 39
- Evaluate Compound Inequalities: AND
Solve the following compound inequalities:
4x+30 > 34 AND 12x−6 > 18
- Solve the following compound inequalities:
−6x+2 > 20 AND 13x+11≤50
- Analyze the Alternate Form of Compound Inequalities: AND
Solve the following compound inequalities:
−5≤3x+1≤7
- Solve the following compound inequalities:
−14 < 1−5x≤11
- Special Cases: No solution, All Real Numbers
Solve the following compound inequalities:
3x−3 < 9 AND 6x+1 > 37
- Solve the following compound inequalities:
5x+6 < 36 OR −3x≤18
Practice
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Topic Notes
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.
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