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Q: Which points are solutions to the system of inequalities?
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Which points are solutions to the system of inequalities y is less than 2x y is less than 8 x is greater than 2?

The system of inequalities y


Can the solution of a system of linear inequalities be the points on a line?

yes


How do you know if a system has one solution?

If the equations or inequalities have the same slope, they have no solution or infinite solutions. If the equations/inequalities have different slopes, the system has only one solution.


A system of two linear inequalities has either no points or infinitely many points in its solution?

the answer is true


What is the definition of equivalent inequalities?

The definition of equivalent inequalities: inequalities that have the same set of solutions


Check all of the points that are solutions to the system of inequalities y 4x plus 3 y -4x plus 6?

the solution for the inequality 4x + 2 - 6x < -1 was x < 3/2


How is the solution in a system of inequalities determine?

An inequality determines a region of space in which the solutions for that particular inequality. For a system of inequalities, these regions may overlap. The solution set is any point in the overlap. If the regions do not overlap then there is no solution to the system.


Do solutions to systems of linear inequalities satisfy both inequalities?

Yes.


How do you solve questions that say which graph best represents the system of inequalities?

The solution to a system of inequalities is where the solutions to each of the individual inequalities intersect. When given a set of graphs look for the one which most closely represents the intersection, this one will contain the most of the solution to the the system but the least extra.


How do you know which region of the graph of a system of linear inequalities contains the solutions?

If the lines intersect, then the intersection point is the solution of the system. If the lines coincide, then there are infinite number of the solutions for the system. If the lines are parallel, there is no solution for the system.


Which of the following points are solutions to the system of inequalities shown below?

y > 5x - 2 y < 5x + 3 A.(4, 20) B.(-5, 25) C.(5, 28) D.(4, 23)


Must solutions to systems of linear inequalities satisfy both inequalities?

Yes.