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Compound Inequality is the coupling of two simple inequalities connected by the conditions 'and' or ‘or’
http://math.tutorvista.com/algebra/compound-inequalities.html
Compound inequality is formed by joining two inequalities with a connective word such as "and" or "or".
The solution set of a compound inequality with the connective word "and " is the set of all elements common
to the solution sets of both inequalities.
The solution set of a compound inequality with the connective word "or" is the union of the solution sets of the two inequalities.