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deff fn [24]
3 years ago
13

The graph below represents which system of inequalities?

Mathematics
1 answer:
attashe74 [19]3 years ago
5 0

Answer:

y ≤ 2x -2 Option C.

Step-by-step explanation:

Equation of the dotted line which passes through (3,0) and (0,8) will be

y = mx+C

m = \frac{y-y'}{x-x'}=\frac{3-0}{0-3} = -1

and C = 3

So equation will be y = x + 3

But shaded blue part is above the dotted line so inequality will be y> -x +3

Equation of the second solid line which passes through ( 0,-2) and (1,0) will be

y = mx + C

m = \frac{y-y'}{x-x'} = \frac{0+2}{1-0} = 2

and C = -2

So equation of the line will be y = 2x - 2

But shaded yellow part is below the solid line.

So inequality will be

y ≤ 2x -2

Option C. is the answer.

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