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.
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In the case of an inequality, if you mulitply by a negative number, you have to reverse the direction of the inequality. E.g.: -x < 10 becomes: x > -10 (Here, I multiplied by -1, and simultaneously reversed the direction of the inequality.)
No. You can solve an inequality in a similar way to an equation, but you end up with a range of answers (like X > 3) for each variable rather than set of exact answers (like X = 3)
When multiplying or dividing a negative number or variable.
Algebraic Inequality
algebraic inequality, is an inequality that contains at least one variable.