A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope.
yes it is possible for a system of two linear inequalities to have a single point as a solution.
A system of linear inequalities
thug life it
If the equal sign in a linear equation in two variables is replaced with an inequality symbol, the result is a linear inequality in two variables. 3x-2y>7 x<-5
A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope.
A solution to a linear inequality in two variables is an ordered pair (x, y) that makes the inequality a true statement. The solution set is the set of all solutions to the inequality. The solution set to an inequality in two variables is typically a region in the xy-plane, which means that there are infinitely many solutions. Sometimes a solution set must satisfy two inequalities in a system of linear inequalities in two variables. If it does not satisfy both inequalities then it is not a solution.
True
Linear inequalities in one variable
When there is an ordered pair that satisfies both inequalities.
yes it is possible for a system of two linear inequalities to have a single point as a solution.
If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.
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.
A system of linear inequalities
No.
It could be a linear equation in two variables. A single linear equation in two variables cannot be solved.
None, one or infinitely many