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When in a situation that could be modeled using a linear inequality of two variables?
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How many solutions does a linear inequality with two variables have?
Infinite.
The solutions to a linear inequality are the points in the plane that make the inequality true?
Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.
What is the relationship modeled by the equation y equals -8x plus 17?
It is a linear relationship between two variables.
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.
8x plus y -16?
You can't simplify that. And you can only calculate a numeric value if you know what values the variables have.
What is the graph of a linear inequality in two variables called?
A bivariate linear inequality.
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
How many solutions does a linear inequality with two variables have?
Infinite.
How many solutions does a linear inequality in two variables have?
Infinitely many.
What are linear inequalities in two variables?
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.
What is the equation for a linear inequality?
A linear inequalty may be of the form a1x1 + a2x2 + ... + anxn < bwhere the ai and b are constants and the xi are variables. The inequality symbol can be <, >, ≤ or ≥.
The solutions to a linear inequality are the points in the plane that make the inequality true?
Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.
What is the relationship modeled by the equation y equals -8x plus 17?
It is a linear relationship between two variables.
-4 plus 2y-x?
The question contains a linear expression in two variables. It is not an equation (nor inequality) and so cannot be solved. Furthermore, with two variables, you need two linear equations.
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.
How do you solve the inequality lx over 3 plus 2l is less than or equal to 8?
There is one linear inequality in 2 variables: l and x. That is not enough to obtain a solution.
8x plus y -16?
You can't simplify that. And you can only calculate a numeric value if you know what values the variables have.
