Can you use a coordinate point on the boundary line as a test point for a linear inequality or systems of inequalities

Question

Please explain thankss

Answer 1

You can use any point.  Using test points, whether you have a system of equations or system of inequalities, is a way to verify if the coordinate is a solution to the system.  If you take a coordinate point (x, y), and plug in the value of x and y into the equations or inequalities that are part of the system, then the equations or inequalities in that system must be true.

 

 

Take for example the system of inequalities

 

x + y > 6

 

x - y > 10

 

 

Lets guess a possible coordinate point that will make the inequalities true.  Suppose the coordinate is (12, -5).

 

Plug in the x coordinate and y coordinate into these inequalities.

 

If both inequalities are true, then the coordinate is a solution.  If only one of the inequalities is true, then the coordinate is not a solution.

Answer 2

Can you use a coordinate point on the boundary line as a test point for a linear inequality or systems of inequalities?

 

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if the inequality, or system, contain > or/and > relation signs only, then you CAN.

 

for "less or equal" and/or "greater or equal" signs, the a boundary point may be used as well.

 

good luck:)

 

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