SOLUTION: What is the difference, if any, between solving a system of linear equations and solving a system of linear inequalities?

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Question 146987: What is the difference, if any, between solving a system of linear equations and solving a system of linear inequalities?

Answer by nabla(475) (Show Source):
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Well, I think this question needs to be more specific. However, I will tell you the essential answer in the differences between the SOLUTIONS:
The solution(s) of a system of linear equations give points of intersection of specific lines or planes.
The solution(s) of a system of linear inequalities give areas of intersection wherein any specific pair of points or lines are solutions.

PROCESS-WISE there are little differences between solving systems. However, multiplication and division by negatives reverses the signs in inequalities.
Hope this helps.