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6-38.

Write the system of inequalities that would give the graph at right. 

Find the y-intercepts and slopes of the lines by looking at the graph.

Determine the equations of the lines and then write the inequalities.

Coordinate plane with 2 lines, divides the plane, into 4 regions. Decreasing solid line, passes through points (0, comma 4), & (4, comma 0). Increasing solid line, passes through points (negative 3, comma negative 1), & (6 comma 2). Region left of intersection point, & between the lines is shaded.