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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.
Obviously, X is the variable which you are trying to get alone, and 0 is what the problem should equal. Basically, you're trying to get X by itself.
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.
The Cauchy-Schwartz inequality is a mathematical inequality. It states that for all vectors x and y of an inner product space, the dot product of x and y squares is less than or equal to the dot product of x to itself multiplied by y to itself.
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.
it haves a sstem of parts
True if the variable is non-negative, false if the variable itself is negative.
Obviously, X is the variable which you are trying to get alone, and 0 is what the problem should equal. Basically, you're trying to get X by itself.
That's going to depend on what statement the inequality itself makes, and on what you are required to find as a solution. There is no general rule for every exercise that involves an inequality. Sadly, you have no other choice but to use your brain every time.
Yes
1
Not necessarily.