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Graphical resolution of a 1st degree inequality system


To solve a system of first degree inequalities graphically, we must:

  • draw on the same plane the graph of each inequality;

  • determine the region corresponding to the intersection of the two semiplanes.

Example: Give the graphic resolution of the system:

Solution:

Tracing the Straight -x + y = 4 and 3x + 2y = 6.

Table -x + y = 4

x

y

(x, y)

04(0, 4)
-40(-4, 0)

Table 3x + 2y = 6

x

y

(x, y)

03(0, 3)
13/2(1, 3/2)

Graphic:

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