Respuesta :

We can find the inequalities.

One inequality has a line with y-intercept 2 and slope -1.

The inequality is y >= -x + 2

The other inequality has a line with y-intercept -1 and slope -4.

The inequality is y >= -4x - 1

The system of inequalities is

y >= -x + 2

y >= -4x - 1

You can move the x-terms to the left side to get these inequalities.

x + y >= 2

4x + y >= -1

The answer is B.

The system of inequalities are + y ≥ 2 and 4x + y ≥ -1 option (D) x + y ≥ 2 and  4x + y ≥ -1 is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The missing options are in the picture.

Please refer to the attached picture.

It is given that:

The graph of the system of inequalities is shown in the picture.

As we know the standard form of the equation of the line is:

y = mx + c

Here, m is the slope of the line

c is the y-intercept of the line

From the graph, we can get the equations by pointing to the x-intercept and y-intercept.

The system of inequalities are:

x + y ≥ 2

4x + y ≥ -1

Thus, the system of inequalities are + y ≥ 2 and 4x + y ≥ -1 option (D) x + y ≥ 2 and  4x + y ≥ -1 is correct.

Learn more about the inequality here:

brainly.com/question/19491153

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Universidad de Mexico