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When 9 is subtracted from twice a number, the result is greater than 15. If the number is \(x\), what is the correct solution?

Answer and explanation

Correct answer: \(x>12\)

The statement translates to the inequality \(2x-9>15\). Adding 9 to both sides gives \(2x>24\), and dividing by 2 gives \(x>12\). Therefore, option A is correct. Option C results from mishandling the coefficient 2 and does not satisfy the original inequality in general. Exam tip: Dividing an inequality by a positive number does not reverse its sign.

Related tags

Linear InequalitiesWord ProblemsInequality TranslationOne Variable InequalitiesAlgebraic Solution Of Linear Inequalities In One VariableMathematicsClass 11 Mcq

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