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

Sagot :

The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not.

Expressions can be expressed as equations or as inequalities.

The difference is that the variables in a system of equation have one solution each, while in a system of inequalities, the variables have a range of values.

Let the system of equation be:

[tex]\mathbf{ax + by = c}[/tex]

[tex]\mathbf{dx + ey = f}[/tex]

Let the system of inequality be:

[tex]\mathbf{ax + by < c}[/tex]

[tex]\mathbf{dx + ey > f}[/tex]

Both systems can be solved using the same method, such as: graphs, substitution and elimination.

However, the difference is that:

In a system of equation, the variables can have one solution each, while in a system of inequalities, the variables have a range of values.

Read more about system of equations and inequalities at:

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