###### Asked by James Mitulien

# Select the point that is a solution to the system of inequalities y_< 2x -2. y_< x^2 -3x?

**We need you to answer this question!**

###### If you know the answer to this question, please register to join our limited beta program and start the conversation right now!

## Related Questions

###### Asked in Math and Arithmetic

### What are the solutions to system of inequalities?

Systems of inequalities in n variables with create an
n-dimensional shape in n-dimensional space which is called the
feasible region. Any point inside this region will be a solution to
the system of inequalities; any point outside it will not.
If all the inequalities are linear then the shape will be a
convex polyhedron in n-space. If any are non-linear inequalities
then the solution-space will be a complicated shape.
As with a system of equations, with continuous variables, there
need not be any solution but there can be one or infinitely
many.

###### Asked in Math and Arithmetic, Algebra

### What does it mean to find the solutions of system of inequalities?

In 2-dimensional space, an equality could be represented by a
line. A set of equalities would be represented by a set of lines.
If these lines intersected at a single point, that point would be
the solution to the set of equations.
With inequalities, instead of a line you get a region - one side
of the line representing the corresponding equality (or the other).
The line, itself, may be included or excluded. Each inequality can
be represented by a region and, if these regions overlap, any point
within that sub-region is a solution to the system of
inequalities.

###### Asked in Personal Finance, Stock Market, Stocks

### What is the situation when two linear inequalities have no common solution?

To solve a system means to find the x- and y-values for which
both of the equations are true. Systems of linear equations can be
solved using a variety of methods. One method is to graph the
equations as two lines and examine them. If the lines intersect at
exactly one point, there is one solution to the system, and the
system is called consistent. If the two lines are on top of
one another, there are an infinite number of solutions, because
each point on the line is considered a solution (this system is
called dependent). If the two lines are parallel, there is
no solution (this system is called inconsistent). To solve a
system means to find the x- and y-values for which both of the
equations are true. Systems of linear equations can be solved using
a variety of methods. One method is to graph the equations as two
lines and examine them. If the lines intersect at exactly one
point, there is one solution to the system, and the system is
called consistent. If the two lines are on top of one
another, there are an infinite number of solutions, because each
point on the line is considered a solution (this system is called
dependent). If the two lines are parallel, there is no
solution (this system is called inconsistent). To solve a
system means to find the x- and y-values for which both of the
equations are true. Systems of linear equations can be solved using
a variety of methods. One method is to graph the equations as two
lines and examine them. If the lines intersect at exactly one
point, there is one solution to the system, and the system is
called consistent. If the two lines are on top of one
another, there are an infinite number of solutions, because each
point on the line is considered a solution (this system is called
dependent). If the two lines are parallel, there is no
solution (this system is called inconsistent). To solve a
system means to find the x- and y-values for which both of the
equations are true. Systems of linear equations can be solved using
a variety of methods. One method is to graph the equations as two
lines and examine them. If the lines intersect at exactly one
point, there is one solution to the system, and the system is
called consistent. If the two lines are on top of one
another, there are an infinite number of solutions, because each
point on the line is considered a solution (this system is called
dependent). If the two lines are parallel, there is no
solution (this system is called inconsistent).

###### Asked in Math and Arithmetic, Algebra, Geometry, Linear Algebra

### The graph of a system of equations with the same slope will have no solutions?

That's right. If a system of equations has a solution, then
their graphs intersect,
and the point where they intersect is the solution, because it's
the point that
satisfies each equation in the system.
Straight-line graphs with the same slope are parallel lines, and
they never intersect,
which is another way of saying they have no solution.