Simplifying Compound Inequalities
HS Math
Created on November 25, 2024
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Transcript
Objectives - simplify compound inequalities - identify special solution sets created by compound inequalities
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simplifyingCompound inequalities
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AND InequalitiesOR Inequalities
Both conditions must be metOverlap of shaded regions
One or both conditions must be metCombination of shaded regions
Which graph matches the inequality?
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The answer is A. The overlap of shaded regions occurs at 5 and above.
Which graph matches the inequality?
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The answer is B. The "or" means that shaded values should include those values greater than -3 combined with those greater than 2.
Which inequality matches the graph?
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The answer is a. The overlap of shaded regions occurs between -8 and 1.
All Real Numbers
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No Solution
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Special Cases
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Examples
x is less than 5 and greater than 10.
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x is less than 10 orgreater than 5.
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You should be able to: - simplify compound inequalities - identify special solution sets created by compound inequalities