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Class 11MathematicsLinear InequalitiesAlgebraic Solution of Linear Inequalities in One VariableHard
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Find the solution set of (3-\frac{2x+1}{4}>\frac{1}{2}).

Answer and explanation

Correct answer: (x<\frac{9}{2})

Multiplying by (4) gives (12-(2x+1)>2), so (x<\frac{9}{2}). Remember sign reversal with a negative variable coefficient.

Related tags

Linear InequalitiesFractionsNegative CoefficientAlgebraic Solution Of Linear Inequalities In One VariableMathematicsClass 11 Mcq
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  1. 1What does the graph of a linear inequality in two variables generally represent?
  2. 2What is the solution of the inequality x + 4 < 9?
  3. 3What is the solution of the inequality \(x-3\le 7\)?
  4. 4What is the solution of the inequality 2x > 10?
  5. 5Which is the correct solution of -2x < 8?
  6. 6Which of the following values is a solution of the inequality \(3x\le 12\)?
  7. 7Which of the following values satisfies the inequality \(2x+1>9\)?
  8. 8Which of the following is the solution set of the inequality \(x+1\ge 6\)?
  9. 9What is the correct solution of 5 - x > 2?
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