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What is the solution of the inequality (\frac{x-2}{5}\le \frac{3x+1}{10}-\frac{x}{2})?

Answer and explanation

Correct answer: ({x:x\le 1})

Multiplying by (\text{LCM}=10) gives (2x-4\le 1-2x), so (4x\le 5) and (x\le \frac{5}{4}). Do not choose an approximate option when the exact answer is absent.

Related tags

Linear InequalitiesFractional InequalityExpertExact SolutionAlgebraic Solution Of Linear Inequalities In One VariableMathematicsClass 11 Mcq

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