Contracts with teeth.
It is not something pleasant to contemplate, but some discrimination is due to real factors, without malice. Such as our drinking age laws.
A corporation that invests X amount in a 22 year old man and a 22 year old woman has a greater statistical chance of getting forty plus years of work out of the man than the woman. They obviously prefer to invest in that which offers them the greatest return.
This situation is due to a noticeable and quantifiable percent of women leaving in their early thirties for purposes of child bearing and raising.
With the establishment of contracts with real penalties - such that a woman would be no more likely to quit than a man - a corporation might feel more comfortable with investing the equivalent money in a woman.
The definition of equivalent inequalities: inequalities that have the same set of solutions
Yes.
Yes.
If it is joined by an "and" it does. If it is joined by an "or" it does not.
There is only one solution set. Depending on the inequalities, the set can be empty, have a finite number of solutions, or have an infinite number of solutions. In all cases, there is only one solution set.
Yes, they can.
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To find the solutions.
Bogomol'nyi-Prasad-Sommerfield bound is a series of inequalities for solutions. This set of inequalities is useful for solving for solution equations.
There are more solutions in a half plane
None, one or infinitely many
They can have none, one or infinitely many.