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A linear equation corresponds to a line, and a linear inequality corresponds to a region bounded by a line.
Consider the equation y = x-5.
This could be graphed as a line going through (0,-5), (1,-4), (2,-3), and so on. The inequality y > x-5 would be the region above that line.
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Why is it important the linear equations and inequalities?
There are many simple questions in everyday life that can be modelled by linear equations and solved using linear programming.
What does it mean by solving linear systems?
Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.
How are linear inequalitys differant from linear equations?
Inequalities have greater than, less than, greater than or equal to, or less than or equal to signs. Equations have an equal sign.
How are linear inequalities different from linear equations?
A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.
What consists of 2 or more linear inequalities in the same variable?
A system of linear inequalities
