To answer this question we will graph the solution set of each inequality and then find the intersection of the solution sets.
1)
[tex]y\ge3x+3.[/tex]
Since the inequality is not strict, then the border of the solution set is a solid line.
Notice that the solution set of the first inequality consists of all the points on the graph and above the graph of the line:
[tex]y=3x+3.[/tex]
Therefore the solution set to the first inequality is:
2)
[tex]y<2.[/tex]
The solution set of the above inequality consists of all the points such that its y-coordinate is less than 2, then its graph is:
Therefore the solution set to the given system of inequalities is:
Answer:
Two points on the solution set are (-2,-3) and (-1,0) and two points that are not on the solution set are (-2,2) and (-4,2).
