Option D: 4 iscorrectsince at x = 4, theinequalitystaystrue, and not for any otheroptions.Given that:The giveninequalitycontainingvariablex is:Options given have values 1, 2, 3 and 4.EvaluatingLHS(Left Hand Side) = x + 9 and RHS(Right Hand side) = 4x  ofinequalityfor all cases:Checking all cases:Case 1: x + 1LHS = x + 9 = 1 + 9 = 10RHS = 4x = 4Thus: LHS > RHSCase 1: x = 2LHS = x + 9 = 2 + 9 = 11RHS = 4x = 8Thus: LHS > RHSCase 1: x = 3LHS = x + 9 = 3 + 9 = 12RHS = 4x = 12Thus: LHS = RHSCase 1: x = 4LHS = x + 9 = 13 + 9 = 10RHS = 4x = 16Thus: LHS < RHSThus, theinequalityx + 9 < 4x is true only for case when x = 4.Thus, option D: 4 is correctvaluefor which the giveninequalitystays true.Learn more about inequalities here:brainly.com/question/19491153...

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