GCSE Maths :|: Graphical Methods :|: Linear & Non-linear Inequalities :|: Linear Programming

We've previously learnt to solve linear and non-linear equations, to graph functions and to use graphical methods to find approximate solutions to equations that can't be solved directly...
Now we progress to solving INEQUALITIES in ONE-VARIABLE
We see that Linear Inequalities can easily be solved without a graph, but that Non-linear inequalities are best solved with a combination of algebraic and graphical methods.
We then transition into LINEAR PROGRAMMING (INEQUALITIES in TWO-VARIABLES), learning how to form INEQUALITIES from the CONTRAINTS and identify the FEASIBLE REGION on a grid, and to locate the OPTIMAL SOLUTION