How many solution sets do systems of linear inequalities have

Asked by admin @ 26/11/2021 in Mathematics viewed by 376 People

4 QUESTIONS FOR 50 POINTS!!!!!! PLEASE HELP!!

1) What are 3 different methods for solving systems of equations and when would you use each one?
2) How do you graph the solution set to a system of linear inequalities in two variables?
3) How do you determine whether a system of linear equations has no solution, one solution, or infinitely many solutions?
4)What are equivalent systems and how are the algebraic properties used in creating equivalent systems?

Answered by admin @ 26/11/2021

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality.

A

linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.A way to solve a linear system algebraically is to use the substitution method.

The graphs of equations within a system can tell us how many solutions exist for Infinite Solutions. If the graphs of the equations intersect, then there is one solution that is true for Looking at the graph does not tell us exactly where that point is, but we don't So a system made of two intersecting lines has one solution.
Two equations that have the same solution are called equivalent equations e.g. The addition property of equality tells us that adding the same number to. We can also use this example with the pieces of wood to explain the are equal as well.

Which system of linear inequalities has the point (3, –2) in its solution set

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 346 persons

Which system of linear inequalities has the point (3, –2) in its solution set?

Asked by wiki @ 01/11/2020 in Mathematics viewed by 716 persons

A.y < -3 y ≤ 2/3x - 4 B.y > -3 y ≥ 2/3x - 4 C.y < -3 y ≥ 2/3x - 4 D.y > -2 y ≤ 2/3x - 4

How many solution sets do systems of linear inequalities have

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