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

Answer and explanation

Correct answer: \(x\le 9\)

Multiply both sides by \(2\) (positive, so inequality sign stays the same):
\[\frac{3x-1}{2}\le x+4\Rightarrow 3x-1\le 2x+8\Rightarrow 3x-2x\le 8+1\Rightarrow x\le 9.\]

Related tags

Linear InequalitiesAlgebraic SolutionOne VariableEasy Medium
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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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