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Aleks [24]
3 years ago
10

Which system of inequalities is represented on this graph?

Mathematics
2 answers:
Alenkasestr [34]3 years ago
5 0

Answer:

It is the second answer choice

Step-by-step explanation:


Paul [167]3 years ago
3 0

Answer:

The correct option is 2.

Step-by-step explanation:

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

From the given graph it is clear that the solid line passes through the points (0,2) and (1,0). So, the related equation of solid line is

y-2=\frac{0-2}{1-0}(x-0)

y-2=-2x

Add 2 on both sides.

y=-2x+2

The sign of inequality must be ≤ because the points on the line are included in the solution set and the shaded region is below the line.

y\leq -2x+2                 .... (1)

From the given graph it is clear that the solid line passes through the points (0,-1) and (1,0). So, the related equation of solid line is

y-(-1)=\frac{0-(-1)}{1-0}(x-0)

y+1=x

Subtract 1 from both sides.

y=x-1

The sign of inequality must be < because the points on the line are not included in the solution set and the shaded region is below the line.

y                 .... (2)

The system of inequalities is

y\leq -2x+2

y

Therefore, the correct option is 2.

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