Graph the system of inequalities. Please provide only one ordered pair (x, y) that will work for both system of inequalities. To earn full credit you must prove your answer by substituting the (x, y) order pair into both inequalities. Show all work for each inequality. 5 pts. for each. y -3x - 3

Question

Graph the system of inequalities. Please provide only one ordered pair (x, y) that will work for both system of inequalities. To earn full credit you must prove your answer by substituting the (x, y) order pair into both inequalities. Show all work for each inequality. 5 pts. for each. 

y< 4x + 3
y> -3x - 3

jim_thompson5910 · Answer

To graph y< 4x + 3, you do the following


Step 1) Graph y = 4x+3. This is the boundary line

Step 2) Make this boundary line a dashed line. There is no "or equal to" so we are not including the boundary.

Step 3) The inequality sign is "less than" so we shade the region below the boundary line.

jim_thompson5910 · Answer

Follow the same steps for y > -3x-3 and graph it on the same xy axis.

The two shaded regions will overlap. This overlapping region is the final solution set. This final solution set makes both inequalities true.