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If \(x\) is an integer and \(1\le x<7\), which points will be marked on the number line?

Answer and explanation

Correct answer: \(1,2,3,4,5,6\)

In \(1\le x<7\), \(x\) can equal 1 because the symbol \(\le\) includes 1. However, \(x=7\) is not allowed because \(<7\) excludes 7. Therefore, the integer points are \(1,2,3,4,5,6\). Option B wrongly omits 1 and includes 7. Exam tip: Include an endpoint with \(\le\) or \(\ge\), but exclude an endpoint with \(<\) or \(>\).

Related tags

Linear InequalitiesInteger SolutionsNumber LineInequality NotationClass 11 MathematicsRepresentation On Number LineMathematicsClass 11 Mcq

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