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Subjects
Class 11MathematicsLinear InequalitiesIntroduction to inequalitiesHard
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If ( \frac{x-5}{2}\leq \frac{3x+1}{4} ), what is the correct solution?

Answer and explanation

Correct answer: (x\geq -11)

Multiplying by positive (4) gives (2x-10\leq 3x+1), so (x\geq -11). Track the sign carefully while moving variables.

Related tags

Fractional InequalityLinear SolvingHardIntroduction To InequalitiesLinear 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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