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Which value lies in the shaded part for (x\le -4) on the number line?

Answer and explanation

Correct answer: -5

The inequality \(x\le -4\) includes values equal to \(-4\) or less than \(-4\). Since \(-5<-4\), \(-5\) lies in the shaded region. In contrast, \(-3\) is greater than \(-4\), so it is not included. Exam tip: among negative numbers, the number farther left on the number line is smaller.

Related tags

Linear InequalitiesNumber LineInequality SolutionsNegative NumbersGrade 11 MathematicsRepresentation On Number LineMathematicsClass 11 Mcq

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