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Q: When graphing a linear inequality in two variables how do you know if the inequality represents the area above the line?

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A bivariate linear inequality.

In an inequality, you have to shade a side of a line to see show if the possible answers are greater than or equal to it

john

If it is <= or >=

The first is 2-dimensional, the second is 1-dimensional.

With the equal sign (=).

Hi

Because the question is tautological. You are asking how something is the same as that very samne thing!

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

Infinite.

Whereas the procedure for a linear equality is the same, the inequality defines all of the plane on one side (or the other) of the corresponding line.

It means that the inequality is less than the value of the dashed line and is not equal to it.

Infinitely many.

They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line

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.

A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.

They are the same.

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 <, >, â‰¤ or â‰¥.

Linear programming is just graphing a bunch of linear inequalities. Remember that when you graph inequalities, you need to shade the "good" region - pick a point that is not on the line, put it in the inequality, and the it the point makes the inequality true (like 0

slope intercept form, rise over run

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.

If the signnn is less than then it is below the line , if it is more than than it is above the line, that is the shaded region, If the signnn is less than then it is below the line , if it is more than than it is above the line, that is the shaded region,

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.

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.

Actually, a linear inequality, such as y > 2x - 1, -3x + 2y < 9, or y > 2 is shaded, not a linear equation.The shaded region on the graph implies that any number in the shaded region is a solution to the inequality. For example when graphing y > 2, all values greater than 2 are solutions to the inequality; therefore, the area above the broken line at y>2 is shaded. Note that when graphing ">" or "=" or "