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Class 11MathematicsLinear InequalitiesAlgebraic Solution of Linear Inequalities in One VariableExpert
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What is the solution of the inequality (\frac{3x-4}{5}-\frac{x+2}{3}\le \frac{1}{15})?

Answer and explanation

Correct answer: (x\le \frac{23}{4})

Clearing denominators gives (4x-22\le 1), so (x\le \frac{23}{4}). In fractional inequalities, multiply by the LCM first.

Related tags

Linear-InequalitiesFractional-InequalityClass-11ExpertAlgebraic Solution Of Linear Inequalities In One VariableLinear InequalitiesMathematicsClass 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?
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