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The solution of ( 3(2x-1)-4(x+2)>x-9 ) is:

Answer and explanation

Correct answer: \(x>2\)

Expanding the left-hand side gives \(6x-3-4x-8>x-9\), or \(2x-11>x-9\). Adding \(x\) to both sides gives \(x>2\). \(x\geq2\) is incorrect because the original inequality is strict, so \(x=2\) is not included. Exam tip: Reverse the inequality sign only when multiplying or dividing by a negative number.

Related tags

Linear InequalitiesOne VariableAlgebraic SolutionExpanding BracketsInequality NotationAlgebraic Solution Of Linear Inequalities In One VariableMathematicsClass 11 Mcq

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