olivia981 olivia981
  • 01-05-2019
  • Mathematics
contestada

The graph shows which inequality? The equation of the boundary line is y=-2x-3.

The graph shows which inequality The equation of the boundary line is y2x3 class=

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carlosego
carlosego carlosego
  • 01-05-2019

For this case we have that the equation of the border line of the region is given by:

[tex]y = -2x-3[/tex]

To know the sign of inequality, we must evaluate a point that belongs to the region and verify if it is fulfilled.

As the border line is dotted, we discard options A and C.

Then, we evaluate the point (-2, -4)

Option B: [tex]y <-2x-3[/tex]

[tex]-4 <-2 (-2) -3\\-4 <4-3\\-3 <1[/tex]

Is fulfilled!

Thus, the region is given by the inequality of option B.

Answer:

Option B

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