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Q: How are linear equations and linear inequalities similar?

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There are many simple questions in everyday life that can be modelled by linear equations and solved using linear programming.

Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.

Inequalities have greater than, less than, greater than or equal to, or less than or equal to signs. Equations have an equal sign.

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.

A system of linear inequalities

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There are many simple questions in everyday life that can be modelled by linear equations and solved using linear programming.

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

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.

They both have variables.

Linear equations or inequalities describe points x y that lie on a circle.

Solving inequalities and equations are the same because both have variables in the equation.

Linear equations are a small minority of functions.

Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.

The boundary of an inequality is formed by the corresponding equation.

Inequalities have greater than, less than, greater than or equal to, or less than or equal to signs. Equations have an equal sign.

Somewhat, but the rules are a bit different for inequalities. Example. -2X > 4 X < - 2 See, sign changes when dividing by negative coefficient.

equations have an = sign, inequalities do not

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