Respuesta :

kudzordzifrancis

Answer:

The point does not lie in the solution sets of the given system of inequalities

Step-by-step explanation:

We need to check whether the point (1,-5) is a solution to the system of inequality

[tex]y\le 3x+2[/tex]

[tex]y\:>\:3x+2[/tex]

We substitute x=1 and y=-5 into the top inequality:

[tex]-5\le 3*1+2[/tex]

[tex]-5\le 3+2[/tex]

[tex]-5\le 5[/tex]. This is true

We substitute x=1 and y=-5 into the bottom inequality:

[tex]-5\:>\:-2*1-3[/tex]

[tex]-5\:>\:-2-3[/tex]

[tex]-5\:>\:-5[/tex]. This is false.

Since the point does not satisfy both inequalities, it is not a solution to the system of inequalities.

KupKakeGirl10

Answer:

Sample Answer: Algebraically, the point (1, -5) satisfies the first inequality, but it does not satisfy the second inequality because -5 is not greater than -5. Graphically, the point (1, -5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. Therefore (1, -5) is not a solution to the given system of inequalities.

Step-by-step explanation:

Right on edge 2021

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