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Subjects
Class 11MathematicsLinear InequalitiesIntroduction to inequalitiesHard
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If (x\in\mathbb{R}) and (-7<2x+5\leq 13), which solution for (x) is correct?

Answer and explanation

Correct answer: (-6<x\leq 4)

Subtracting (5) gives (-12<2x\leq 8), then (-6<x\leq 4). Apply the same operation to every part of a compound inequality.

Related tags

Compound-InequalityReal-SolutionIntervalIntroduction 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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