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sergij07 [2.7K]
3 years ago
7

Please help!

Mathematics
2 answers:
Reika [66]3 years ago
4 0

Answer:

(1,-5)

Step-by-step explanation:

The given system of inequalities are;

y\:

and

y\:

The point that is a solution will satisfy the two inequalities.

Checking for (1,-5)

-5\: and -5\:

-5\:: True -5\: : True

This point lies in the solution region.

Checking for (1,5)

5\: and 5\:

5\:: False 5\: : False

This point does not lie in the solution region.

Checking for (5,1)

1\: and 1\:

1\:: False 1\: : True

This point does not lie in the solution region.

Checking for (-1,5)

5\: and 5\:

5\:: True 5\: : False

This point does not lie in the solution region.

Salsk061 [2.6K]3 years ago
3 0

Plug the values and check if they return a true statement or not:

Plugging (x,y) = (1,-5) we have

-5 < -3 -15 < 1 + 2 \iff -5 < -18 < 3 which is false

Plugging (x,y) = (1,5) we have

5 < -3 +15 < 1 + 2 \iff 5 < 12 < 3 which is false

Plugging (x,y) = (5, 1) we have

1 < -15 + 3 < 5 + 2 \iff 1 < -12 < 7 which is false

Plugging (x,y) = (-1, 5) we have

5 < 3 +15 < -1 + 2 \iff 5 < 18 < 1 which is false

So, all of the options seem wrong.

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