substitution property
transitive property
subtraction property
addition property
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Algebraic inequalities can be solved in the same fashion as algebraic equations. The goal here, as in algebraic equations, is to isolate the variable. The one thing to remember, however, is that when dividing or multiplying both sides by a negative number, one must switch the inequality sign.
Yes.
These are characteristics of the elements of algebraic structures, or algebraic sets. Each element in the set possesses these characteristics and that is why they are called properties.
Linear algebraic inequalities can be described as an expression with a variable >/< an expression with a variable. For example, 2x<90 so x<45. Inequalities don't yield a particular solution, but rather solution sets. In the above example, x<45, means that the solution set is all of the values less than 45.
The answer depends on which properties you have in mind. And since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.