Which system of linear inequalities is represented by the graph?

The correct option is 2.

Step-by-step explanation:

From the given graph it is clear that the y-intercept of red line is 1 and y-intercept of blue line is 4.

The red line passes through the points (0,1) and (5,0). So, the slope of red line is

The blue line passes through the points (-2,0) and (0,4). So, the slope of blue line is

The slope intercept form of a line is

Where m is slope and b is y-intercept.

The y-intercept of red line is 1 and slope is .

Multiply both sides by 5.

Add x on both the sides.

The related equation of red line is x+5y=5.

The shaded region is above the line and the related line is a solid line, therefore the sign of inequality is ≥. So, the first inequality is

The y-intercept of blue line is 4 and slope is 2.

The related equation of blue line is y=2x+4.

The shaded region is below the line and related line is a solid line, therefore the sign of inequality is ≤. So, the second inequality is

Therefore the correct option is 2.

step-by-step explanation:

easy its decreasing

step-by-step explanation:

because its top point is at the to of the graph on the left side (atleast from the veiw i see it) now if that top point wast in the lower part of the graph it would be increasing hope this have a nice day