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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
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.
How are linear inequalities and linear equations the same?
They are not. An inequality cannot, by definition, be the same as an equation.
How can you use coordinate graphs to solve linear equations and linear inequalities?
To solve it by coordinate graphs you would take a point from the line and plug in the X and Y value into the equations and or inequalities.
What types of equations or inequalities describe points x y that lie on a circle?
Linear equations or inequalities describe points x y that lie on a circle.
Are their similar things about inequalities and equations?
They both have variables.
How are the rules for solving inequalities similar to those for solving equations?
Solving inequalities and equations are the same because both have variables in the equation.
How are functions and linear equations similar?
Linear equations are a small minority of functions.
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 equations and inequalities similar?
The boundary of an inequality is formed by the corresponding equation.
First Degree Equations and Inequalities in one Variable?
First degree equations ad inequalities in one variable are known as linear equations or linear inequalities. The one variable part means they have only one dimension. For example x=3 is the point 3 on the number line. If we write x>3 then it is all points on the number line greater than but not equal to 3.
Why can linear equations and linear inequalities be solved the same way?
Somewhat, but the rules are a bit different for inequalities. Example. -2X > 4 X < - 2 See, sign changes when dividing by negative coefficient.
