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If this is school work, the solution is as follows:
Treat the inequality as an equality and graph the relevant line (straight or curved). Set both variables equal to 0 and find out whether or not the inequality at (0,0) is true. If the inequality is false, reject (shade out) all of the plane on the side of the line that contains the origin while if it is true, reject the part of the plane beyond the line. The unshaded part is the valid (or feasible) region.
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How many solutions does a linear inequality with two variables have?
Infinite.
8x plus y -16?
You can't simplify that. And you can only calculate a numeric value if you know what values the variables have.
Absolute value inequalities?
What's your question? To solve an absolute value inequality, knowledge of absolute values and solving inequalities are necessary. Absolute value inequalities can have one or two variables.
How do you solve a proportion if two variables are missing?
Calculus.
How do you solve a two variable inequality?
The simplest way is probably to plot the corresponding equality in the coordinate plane. One side of this graph will be part of the feasible region and the other will not. Points on the line itself will not be in the feasible region if the inequality is strict (< or >) and they will be if the inequality is not strict (≤ or ≥). You may be able to rewrite the inequality to express one of the variables in terms of the other. This may be far from simple if the inequality is non-linear.
