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Alona [7]
3 years ago
12

1. graph the system of inequalities -2x+3y≥ -12 x+y< 3

Mathematics
2 answers:
jolli1 [7]3 years ago
7 0

the answer is y> -2/3+2x/3

Alik [6]3 years ago
6 0

First, convert the equations into slope intercept form.

y=mx+b

Where m is the slope and b is the y intercept.

First equation :

-2x+3y\geq -12 \\ 3y\geq-2x-12\\y\geq-\frac{2}{3}x-4

Second equation :

x+y

So now we graph

y and y\geq-\frac{2}{3}x-4

Since y is less than and not equal to, we shade below the line and the line is dotted.

Since y\geq-\frac{2}{3}x-4 is greater than and equal to, we shade above the line and the line is solid.

And the solutions are anything in the double shaded region.

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