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Class 11MathematicsLinear InequalitiesAlgebraic Solution of Linear Inequalities in One VariableHard
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What is the solution of (\frac{x+1}{2}+\frac{x+2}{3}\le \frac{x+3}{4})?

Answer and explanation

Correct answer: (x\le -\frac{5}{7})

Multiplying by (12) gives (6x+6+4x+8\le 3x+9), so (x\le -\frac{5}{7}). Clear denominators and combine linear terms.

Related tags

Linear InequalitiesFractionsLcmAlgebraic Solution Of Linear Inequalities In One VariableMathematicsClass 11 Mcq
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10 more MCQs
  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?
  10. 10Which is the solution of 4x + 2 ≤ 14?
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