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Choose the linear inequality that describes the graph. The gray area represents the shaded region.

y ≤ 2x – 2

y ≥ 2x – 2

y ≥ 2x + 2

y ≥ –2x + 2

Choose the linear inequality that describes the graph. The gray area represents the-example-1
User Hopla
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2 Answers

3 votes
The given line has the equation y = 2x - 2, so if the gray area is the one of interest, the inequality is y ≥ 2x – 2.
User Ricmarchao
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8.1k points
3 votes

Answer:

The correct option is 2.

Explanation:

From the given graph it is noticed that the related line passing through the points (0,-2) and (1,0).

If a line passing through two points, then the equation of line is


y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)

The related equation is


y-(-2)=(0-(-2))/(1-0)(x-0)


y+2=2x


y=2x-2

So, the related equation is
y=2x-2.

From the graph it is noticed that the point (0,0) contained in the shaded region.

check the related equation by (0,0).


(0)=2(0)-2


0=-2

This statement is true if the sign is
\geq insted of equality.

Therefore the required inequality is


y\geq 2x-2

Option 2 is correct.

User TitoOrt
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8.3k points

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