How do you solve this system of equations: #y\leq - x + 9 and y \geq - 2x + 12#?

1 Answer
Feb 7, 2018

See the Explanation.

Explanation:

Given:

#y <= -x+9#

#y>= -2x+12#

The procedure is as follows:

Graph each inequality separately.

An image of the graph is available below:

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Then choose a convenient test point to determine which side of the line needs to be shaded. After that, you can observe that the solution to the system will be the area where the shaded segment from each inequality overlap one another.

Refer to the image below to view the overlapping segments and the test points used to identify the solution visually:

enter image source here