Compound Inequalities

# Compound Inequalities - Compound Inequalities

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Compound Inequalities compound inequality  is a sentence with two inequality statements joined either by the word “or”  or by the word “and.” “And” indicates that both statements of the compound sentence are true at the  same time. It is the overlap or intersection of the solution sets for the individual statements. “Or”  indicates that, as long as either statement is true, the entire compound sentence is true. It is the  combination or union of the solution sets for the individual statements. A compound inequality that  uses the word “and” is known as a  conjunction . Although “and” and “or” are parts of speech known  as conjunctions, the mathematical conjunction has a different meaning from the grammatical one. To  prove the point, the conjunction (part of speech) “or”—when used in a compound inequality—forms  what is known as a

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## This note was uploaded on 11/10/2011 for the course MATH 1310 taught by Professor Staff during the Fall '07 term at Texas State.

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Compound Inequalities - Compound Inequalities

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