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Inequality Region Area

Source: AMC 12 2008A Problem 14

February 17, 2008
inequalitiesgeometryinvariantgeometric transformationanalytic geometryAMC

Problem Statement

What is the area of the region defined by the inequality |3x\minus{}18|\plus{}|2y\plus{}7|\le 3? <spanclass=′latex−bold′>(A)</span> 3<spanclass=′latex−bold′>(B)</span> 72<spanclass=′latex−bold′>(C)</span> 4<spanclass=′latex−bold′>(D)</span> 92<spanclass=′latex−bold′>(E)</span> 5 <span class='latex-bold'>(A)</span>\ 3 \qquad <span class='latex-bold'>(B)</span>\ \frac{7}{2} \qquad <span class='latex-bold'>(C)</span>\ 4 \qquad <span class='latex-bold'>(D)</span>\ \frac{9}{2} \qquad <span class='latex-bold'>(E)</span>\ 5
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