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The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.
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A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope?
A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope.
Is it possible for a system of two linear inequalities to ha a single point as a solution?
yes it is possible for a system of two linear inequalities to have a single point as a solution.
What consists of 2 or more linear inequalities in the same variable?
A system of linear inequalities
Define solution of a linear inequality in two variable?
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
What is two or more linear inequalities using the same variable?
thug life it
How do you differentiate linear inequalities in two variables from linear equations in two variables?
Linear inequalities in two variables involve expressions that use inequality symbols (such as <, >, ≤, or ≥), while linear equations in two variables use an equality sign (=). The solution to a linear equation represents a specific line on a graph, while the solution to a linear inequality represents a region of the graph, typically shaded to show all the points satisfying the inequality. Moreover, linear inequalities allow for a range of values, whereas linear equations specify exact values for the variables.
A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope?
A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope.
How many solution sets do systems of linear inequalities have Must solutions to systems of linear inequalities satisfy both inequalities In what case might they not?
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 or false A graph of two simultaneous linear inequalities in two variables that have no intersecting regions must contain two lines with the same slope?
True
Why was there a need to invent linear equation in two variables?
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.
Inequalities containing two inequality symbols are called what?
Linear inequalities in one variable
When does A system of two linear inequalities have a solution?
When there is an ordered pair that satisfies both inequalities.
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.
Is it possible for a system of two linear inequalities to ha a single point as a solution?
yes it is possible for a system of two linear inequalities to have a single point as a solution.
HOW DO WE graph linear inequalities that involves two variables?
To graph linear inequalities involving two variables, first, rewrite the inequality in slope-intercept form (y = mx + b) if necessary. Next, graph the corresponding linear equation as if it were an equality (using a solid line for ≤ or ≥ and a dashed line for < or >). Finally, shade the appropriate region of the graph: above the line for greater than or greater than or equal to, and below the line for less than or less than or equal to. This shaded area represents all the possible solutions to the inequality.
32x plus 60y 1116?
It could be a linear equation in two variables. A single linear equation in two variables cannot be solved.
What is the set of two or more inequalities?
A set of two or more inequalities is known as a system of inequalities. This system consists of multiple inequalities that involve the same variables and can be solved simultaneously to find a range of values that satisfy all conditions. Solutions to a system of inequalities are often represented graphically, where the feasible region indicates all possible solutions that meet all the inequalities. Such systems are commonly used in linear programming and optimization problems.
