Mathematics
: asked on raedusty3200

17.02.2022 the following question

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17.02.2022, solved by verified expert

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The point is not a solution for both inequalities, so the point is not a solution for the system of inequalities.

Step-by-step explanation:

To find the relationship of the point and the system of inequalities, let's use the value of the point (x and y values) in the inequalities:

First inequality: y ≤ 3x + 2

Using x = 1 and y = -5, we have:

-5 ≤ 3*1 + 2

-5 ≤ 3 + 2

-5 ≤ 5 (True)

Second inequality: y > –2x – 3

Using x = 1 and y = -5, we have:

-5 > -2*1 - 3

-5 > -2 - 3

-5 > -5 (False)

The point is not a solution for both inequalities, so the point is not a solution for the system.

Graphically, the point is not inside the area generated by the system of inequalities (check the image attached).

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