Which graph shows the solution to the system of inequalities? y< 1/2x-2 y≤-2x+4

First of all, we need to graph the equation of the two lines and find each region separately.

The first line is:

This line has been plotted in the first figure below. To find the feasible region, let's take a random point and test the inequality, so let's take

Since for (0,0) the inequality is false, then the region for this inequality is not where the point (0, 0) lies, but the other region, that is, the one under the line as indicated in the second figure. Keep in mind that points on the border of this region, that is, points that lies on the line aren't included in the region because the symbol < tells us that the equality is not included.

The second line is:

This line has been plotted in the third figure below. To find the feasible region, let's take (0,0) again, so let's take

Since for the point (0,0) the inequality is true, then the region for this inequality is where this point lies as indicated in the fourth figure. Keep in mind that points on the border of this region, that is, points that lies on the line are included in the region because the symbol ≤ tells us that the equality is included.

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Finally, the solution to the system of inequalities is the one where the red and blue region overlap as indicated in the fifth figure below.

10010010001010010101001001010010100101010010101010010010101010110010001011010010010001

step-by-step explanation:

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !