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If the boundary line (y=-2) is dashed and shading is above it, which inequality is represented?

Answer and explanation

Correct answer: \(y>-2\)

For every point above the line \(y=-2\), the value of \(y\) is greater than \(-2\). A dashed boundary means that points on the line are not included, so equality is excluded. Therefore, the inequality is \(y>-2\). The option \(y\geq -2\) would include the boundary line and would be shown with a solid line. Exam tip: shading above a horizontal line means larger \(y\)-values; shading below means smaller \(y\)-values.

Related tags

Linear InequalitiesGraphical InequalitiesHorizontal BoundaryDashed LineTwo VariablesClass 11Graphical Solution Of Linear Inequalities In Two VariablesMathematics

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