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If \(q>2\), which new inequality is obtained by multiplying both sides of the inequality by \(-4\)?

Answer and explanation

Correct answer: \(-4q<-8\)

When both sides of \(q>2\) are multiplied by the negative number \(-4\), the inequality sign reverses. Thus, \(-4q<-8\) is obtained. Option A is incorrect because it keeps the original sign. Exam tip: Always reverse the inequality sign when multiplying or dividing an inequality by a negative number.

Related tags

Linear InequalitiesNegative MultiplicationInequality Sign ReversalAlgebraic Solution Of Linear Inequalities In One VariableMathematicsClass 11 Mcq

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