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Which of the following values does not satisfy the inequality (2x-3\le 5)?

Answer and explanation

Correct answer: \(x=5\)

Adding 3 to both sides of \(2x-3\le 5\) gives \(2x\le 8\). Dividing by 2 gives \(x\le 4\). Therefore, \(x=5\) is greater than 4 and does not satisfy the inequality. The closest option, \(x=4\), does satisfy it because the equality case is included. Exam tip: In an inequality containing \(\le\), the boundary value is also a solution.

Related tags

Linear InequalitiesOne VariableAlgebraic SolutionChecking SolutionsInequality BoundaryAlgebraic Solution Of Linear Inequalities In One VariableMathematicsClass 11 Mcq

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