Graph the solution set of the system of inequalities or indicate that the system has no solution.
-y < -x + 4 y > 3x - 3

Question

Quizplus · Accepted Answer

To graph the system of inequalities, we first need to graph the boundary lines, which are the lines formed by replacing the inequalities with equalities.

The boundary line for y < -x + 4 is y = -x + 4, which has a y-intercept of 4 and a slope of -1.

The boundary line for y > 3x - 3 is y = 3x - 3, which has a y-intercept of -3 and a slope of 3.

To graph the solution set, we need to shade the region that satisfies both inequalities. This shaded region is shown in the graph as the region below the line y = -x + 4 and above the line y = 3x - 3.

The solution set is the set of all points in this shaded region, which is indicated by choice A.

Graph the Solution Set of the System of Inequalities or Indicate