Graph y_> 1/2x-2 and y> -2x+4

Step-by-step explanation:

The steps to graph this type of inequalities are the following:

1: Change the symbols of inequalities by symbols of equality

(i)

 and

(ii)

2: Graph the equations of the line finding the cut points with the axes

(i)

.......................

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(ii)

.......................

The graph of these lines is shown in the attached figure.

3: For inequality (i)

(i)

Since y is greater than or equal to then identify the line and mark the entire region above this line

For inequality (ii)

(ii)

Since y is greater than or equal to , then identify the line and mark the entire region above this line

At the end, the formed region comprises all the points that are above and at the same time they are above

The attached graph shows this region

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