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What type of region is represented by \(2\le y\le 6\)?

Answer and explanation

Correct answer: strip between two horizontal lines

The inequality \(2\le y\le 6\) means that the \(y\)-coordinate of every solution point lies from 2 to 6, including both boundaries. The lines \(y=2\) and \(y=6\) are horizontal, so the closed strip between them is the solution region. The line \(y=2\) alone is only the lower boundary, not the complete solution set. Exam tip: inequalities involving only \(y\) have horizontal boundary lines.

Related tags

Linear InequalitiesGraphical SolutionHorizontal LinesSolution RegionClass 11Graphical Solution Of Linear Inequalities In Two VariablesMathematicsClass 11 Mcq

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