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If \\(11x+6\geq 7x+34\\) and \\(x\\) is an integer, what is the least possible value of \\(x\\)?

Answer and explanation

Correct answer: 7

Simplifying \\(11x+6\geq 7x+34\\) gives \\(4x\geq 28\\), so \\(x\geq 7\\). Therefore, the least integer solution is 7. The value 6 is not allowed because it does not satisfy the inequality, while 8 and 9 are valid solutions but are not the least. In an exam, check the smallest integer at the boundary after solving the inequality.

Related tags

Linear InequalitiesInteger SolutionsLeast ValueOne Variable InequalitiesAlgebraic Solution Of Linear Inequalities In One VariableMathematicsClass 11 Mcq

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