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Subjects
Class 11MathematicsLinear InequalitiesIntroduction to inequalitiesHard
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If ( -4<x\leq 2 ), what is the correct range of (3x-1)?

Answer and explanation

Correct answer: ( -13<3x-1\leq 5 )

Multiplying the whole inequality by (3) and subtracting (1) gives ( -13<3x-1\leq 5 ). Positive multiplication does not change the sign.

Related tags

Linear InequalitiesRange TransformationCompound InequalityIntroduction To InequalitiesMathematicsClass 11 Mcq
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10 more MCQs
  1. 1What does a < b mean?
  2. 2What is the correct meaning of the inequality \(x\ge 7\)?
  3. 3Which of the following is a linear inequality?
  4. 4Which of the following values satisfies the inequality \(x<4\)?
  5. 5For x=2, how is the statement x≤2?
  6. 6How should the statement “y is more than 10” be written as an inequality?
  7. 7Which inequality represents the statement “the variable p is not more than 12”?
  8. 8If (x>3), what do we get after adding (2) to both sides?
  9. 9If (m<6), what happens after multiplying both sides by (4)?
  10. 10If x>5, which inequality is correct after multiplying both sides by −1?
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