Linear Inequality System Two Variables Class X SMA

System of Linear Inequality Two Variables - If before The basic mathematical formula has given material discussion on system of two-variable linear equations to complement mathematics subject matter in high school then for post times This material is presented further on the system of two linear inequalities . In the material below will be described on understanding, sample questions, as well as discussion of the system of inequality of two variables. So, take a good look at the explanations of the following mathematical material:


Linear inequality can be interpreted as an inequality in which the free variable has a linear form (one rank). Try to recall the following forms of inequality:


3x = 6 (linear inequality with one variable)
[1945909]
2x + y <0 (Linear inequalities with two variables)

2x + 3y - 4z> 0 (Linear inequalities with three variables )

In this post I will limit the explanation to only the linear inequalities of two variables. The combination of two or more linear inequalities with two variables can be called a linear inequality of two variables. An example of a two-variable linear system of equations is:

2x + 4y ≥ 16
x + y ≥ 8
[1945907]
x ≥ 0
y ≥ 0


The Set and Region of Settlement Linear Inequality Two Variables

The following is A way that can be done to determine the set or area of ​​completion of the inequality system of two variables: ax + by ≤ c

First, make the line ax + by = c by specifying two different points on the line in the diagram ca Rtesius. The Cartesian diagram would later be divided into two parts separated by that line.

Second, Perform substitution of a point on one part into the inequality system. If the result is a correct statement, it means that the area is the solution, but if the statement is false then the other part becomes the settler.

Third, shade on the part of the settlement zone.

For more details, notice the following example example:
Example Problem 1
Try to find a settlement region that satisfies the inequality system 2x + 3y ≤ 12

Line drawing 2x + 3y ≤ ] 12, select two dots
If x = 0 then:
2.0 + 3y = 12
3y = 12

y = 4 points (0.4)
]

If y = 0 Then:

2x + 3.0 = 12

2x = 12

x = 6 points (6,0)

First, select the point (0,0) then substitute the point into Inequality 2x + 3y ≤ 12. from the above calculation it is known that the result is 2 x 0 + 3 x 0 ≤ 12 or 0≤ 12 so the statement can be considered correct. So it can be concluded that the settlement region of the inequality is located in the region that is below the line up to the line that becomes the boundary 2x + 3y = 12. So the image becomes:

Linear Inequality System Two Variables Class X SMA "border =" 0 "height =" 193 "src =" https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwiH3gngipE4WDUPF2Vb1KbLvKfrojScw6k4lwaw08RlG7SNBigqN9MYz4zRHb5cO6jEnqiQmWEdFfKRlC3KCEH2ikEcZ_xJ8Lx5iDqt4fcZCrNUuzesOZS83hGGoJGVMTWKSpChIGl-Y/ /System%2BPertidakamaan% 2BLinear% 2BDua%2BVariabel%2BKelas%2BX%2BSMA.JPG "title =" System of Linear Inequality Two Variables Class X SMA "width =" 320 "> </div> <div class=

For this time it was sufficient that the material about Linear Inequality System Two Variables of Class X SMA In the next post may be discussed more Go about the materials related to the linear inequality system of two variables, so follow Keep the math lesson material posted in this blog so you guys do not miss to be able to learn the various discussion of mathematics material that exist in this blog.

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