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Make sure you can plot graphs of linear equations and recognise the equation of a line from a graph before looking at graphs of inequalities.
H. W. Kuhn, Solvability and Consistency for Linear Equations and Inequalities, The American Mathematical Monthly, Vol. 63, No. 4 (Apr., 1956), pp. 217-232 ...
The graph below shows the total number of publications each year in Dynamic Inequalities and Integral Equations on Time Scales.