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A system of inequalities is shown.

The graph shows a dashed upward opening parabola with a vertex at negative 2 comma negative 6, with shading inside the parabola. It also shows a dashed line passing through the points negative 3 comma negative 5 and 0 comma 4, with shading below the line.

Which system is represented in the graph?

y < x2 + 4x – 2
y > 3x + 4
y > x2 + 4x – 2
y < 3x + 4
y ≤ x2 + 4x – 2
y ≥ 3x + 4
y > x2 + 4x – 2
y > 3x + 4

Respuesta :

Answer:Thus, the correct choice is:

y<x2+4x−2y<x2+4x−2

y>3x+4y>3x+4

Step-by-step explanation:To determine which system is represented in the graph, let's analyze the components:

   The dashed upward-opening parabola with a vertex at (-2, -6) indicates the inequality y<x2+4x−2y<x2+4x−2, because the shading is inside the parabola.

   The dashed line passing through (-3, -5) and (0, 4) indicates the inequality y>3x+4y>3x+4, because the shading is below the line.

So, the system represented in the graph is:

y<x2+4x−2y<x2+4x−2

y>3x+4y>3x+4

Thus, the correct choice is:

y<x2+4x−2y<x2+4x−2

y>3x+4y>3x+4

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