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Class 11MathematicsLinear Inequalitiesrepresentation on number lineHard
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If every point except (6) is shaded on the number line, which interval is correct?

Answer and explanation

Correct answer: ((-\infty,6)\cup(6,\infty))

Only (6) is removed, so there is an open dot at (6) and shading on both sides. In exams, identify this as (x\ne6).

Related tags

Linear InequalitiesNot EqualNumber 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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