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They are not. An inequality cannot, by definition, be the same as an equation.

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11y ago

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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.


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.


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.


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How do you differentiate linear inequalities in two variables from linear equations in two variables?

Linear inequalities in two variables involve expressions that use inequality symbols (such as <, >, ≤, or ≥), while linear equations in two variables use an equality sign (=). The solution to a linear equation represents a specific line on a graph, while the solution to a linear inequality represents a region of the graph, typically shaded to show all the points satisfying the inequality. Moreover, linear inequalities allow for a range of values, whereas linear equations specify exact values for the variables.


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What is the difference between the solution of a system of linear inequalities and the solution of a system of linear equations?

The solution of a system of linear equations consists of specific points where the equations intersect, typically yielding a unique point, infinitely many points, or no solution at all. In contrast, the solution of a system of linear inequalities represents a region in space, encompassing all points that satisfy the inequalities, often forming a polygonal shape in two dimensions. While equations define boundaries, inequalities define areas that can include multiple solutions. Thus, the nature of their solutions differs fundamentally: precise points versus expansive regions.


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