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On a number line, an open circle is marked at 4 and the region to its right is shaded. Which linear inequality does this represent?

Answer and explanation

Correct answer: \(x>4\)

An open circle shows that 4 is not included in the solution set, and shading to the right represents numbers greater than 4. Therefore, the inequality is \(x>4\). For \(x\geq 4\), the point at 4 would be shown with a closed circle. Exam tip: right-side shading means ‘greater than’, while left-side shading means ‘less than’.

Related tags

Linear InequalitiesNumber LineInequality RepresentationOpen CircleClass 11 MathematicsRepresentation On Number LineMathematicsClass 11 Mcq

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