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Subjects
Class 11MathematicsLinear Inequalitiesrepresentation on number lineMedium
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How do you write ((-3,2)\cup[2,5]) as a simpler interval on the number line?

Answer and explanation

Correct answer: ((-3,5])

The first part is open up to (2), and the second starts at (2) included, so no gap remains. In exams, merge connected intervals.

Related tags

Union Of IntervalsNumber LineSimplificationRepresentation On Number LineLinear InequalitiesMathematicsClass 11 Mcq
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10 more MCQs
  1. 1Which inequality is represented by the interval (−∞, 5)?
  2. 2What is the inequality form of the interval \([2,\infty)\)?
  3. 3Which value is not included in 0 ≤ x ≤ 6?
  4. 4What is the interval notation for the inequality x > −4?
  5. 5Which of the following represents \(x\le 0\) in interval notation?
  6. 6Which of the following statements correctly describes \(2\le x<5\)?
  7. 7If x is a natural number and x < 4, what are the possible values?
  8. 8Which inequality is represented on a number line by a closed dot at 4 and shading to its right?
  9. 9Which statement is correct for the inequality \(x<-2\)?
  10. 10How is the inequality \(x\ge 2\) written in interval notation?
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