How does the solution to a system of equations compare to the solution of a system of inequalities?.

A collection of equations with the same variables is known as a system of equations. The only difference is that you’re working with inequalities rather than equations in a system of inequalities.

What are inequalities?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

A system of equations has one solution for each variable, whereas a system of inequalities has a range of possible values for each variable.

Set up the equations as follows:

ax + by = c

dx +ey = f

Let the inequitable system exist:

ax + by <c

dx +ey > f

The same technique, such as graphing, substitution, and elimination, can be used to solve both systems.

But there’s a difference because:

A system of equations can only have one solution for each variable, whereas a system of inequalities can have any number of solutions for each variable.

Learn more about inequalities and systems of equations:

system of equations.The only difference is that you’re working withinequalitiesrather than equations in asystem of inequalities.What are inequalities?inequalityin mathematics is a relation that compares two numbers or othermathematical expressionsin an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.system of equationshas one solution for each variable, whereas asystem of inequalitieshas a range of possible values for each variable.equationsas follows:inequitablesystem exist:system of equationscan only have one solution for each variable, whereas asystem of inequalitiescan have any number of solutions for each variable.inequalitiesandsystems of equations: