We present a method to obtain sharp lower and upper bounds for the probability that at least one out of a number of events in an arbitrary probability space will occur. The input data are some of the ...

The relaxation method for solving systems of inequalities is related both to subgradient optimization and to the relaxation methods used in numerical analysis. The convergence theory depends upon two ...

Plotting graphs of inequalities works almost exactly the same way as plotting graphs. Simple inequality graphs can be plotted parallel to the \(x\) or \(y\) axes and tables of values can help to plot ...

Often in real life we find ourselves in situations that can be represented mathematically by inequalities. For example, if we want to take a taxi, we may find that the charge is £1.50 standard charge ...