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Subjects
Class 11MathematicsLinear Inequalitiesrepresentation on number lineHard
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Which interval represents (|3x-4|\ge 11) on the number line?

Answer and explanation

Correct answer: ((-\infty,-\frac{7}{3}]\cup[5,\infty))

(|3x-4|\ge11) gives (3x-4\le-11) or (3x-4\ge11), so (x\le-\frac{7}{3}) or (x\ge5). In exams, modulus with (\ge) gives closed outer rays.

Related tags

Linear InequalitiesAbsolute ValueNumber LineRepresentation On Number LineMathematicsClass 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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