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Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities.

y< -4/3x -5

y<5/6x-1


Answers:
(1,2)
(-3,-7)
(5,-2)
(-4,-2)

Respuesta :

Answer:

(-3, -7)

Step-by-step explanation:

Let's choose the point (-6, 0) to test out the first equation, because it does not fall on the line.

y=0

is -4/3(-6)-5 greater than 0?

y<8-5

y<3

0<3

The equation is true, and the side of the line containing the point (-6, 0) should be shaded.

Let's test out the second equation, using the same point, (-6,0). y<5/6x-1

y=0

is 5/6x-1 greater than 0?

y<5/6(-6)-1

y<-5-1

0<-6

This is not true, so the side of the line that does not contain (-6,0) should be shaded. If we divide the graph into four, the lowest region would be shaded by both lines. Now we can plot the points on the graph and find which out of the four falls in that region.

The correct answer is (-3, -7)

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