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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.
No. The goal is to find a value of the variable(s) for which the solution is true. Getting the variable by itself is only a part of the process, not the goal.
Yes. A variable by itself, or anything that contains a variable, would be a variable expression (unless the variable cancels out, as in "x - x", which always has the same value).
Identity property of addition states that the sum of zero and any number or variable is the number or variable itself. Identity property of multiplication states that the product of 1 and any number or variable is the number or variable itself.
Not necessarily.