Solve the following system of inequalities graphically: x ≥ 3, y ≥ 2.

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asked Feb 19, 2018 in Mathematics by sforrest072 (157,439 points) 61 410 947

Solve the following system of inequalities graphically: x ≥ 3, y ≥ 2.

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answered Feb 19, 2018 by mdsamim (213,225 points) 5 10 15
selected Feb 19, 2018 by sforrest072
 
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x ≥ 3 ……………………. (1)
y ≥ 2 ………………….… (2)

The graph of the lines, x = 3 and y = 2, are drawn in the figure below.
Inequality (1) represents the region on the right hand side of the line, x = 3 (including the line x = 3), and inequality (2) represents the region above the line, y = 2 (including the line y = 2).

Hence, the solution of the given system of linear inequalities is represented by the common shaded region including the points on the respective lines as follows.

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