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If the representation of (x\le 3) is to be drawn, what mark is made at (3)?

Answer and explanation

Correct answer: Closed circle

In \(x\le 3\), \(x=3\) is included because \(3\le 3\) is true. Therefore, a closed circle is drawn at 3 on the number line. An open circle is used only when the boundary value is excluded, as in \(x<3\). Exam tip: use a closed circle for \(\le\) and \(\ge\), and an open circle for \(<\) and \(>\).

Related tags

Linear InequalitiesNumber LineBoundary PointClosed CircleInequality SymbolsRepresentation On Number LineMathematicsClass 11 Mcq

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