Answer:
The second graph represents the system of inequalities
[tex]y\geq-3x + 1\\\\y\leq\frac{1}{2}x + 3\\[/tex]
Step-by-step explanation:
Let us first consider how the graphs of the inequalities will look like.
For the inequality [tex]y\geq-3x + 1[/tex] all the values "above" the line [tex]y=-3x + 1[/tex] are its solutions (because of the [tex]\geq[/tex] sign).
And for the inequality [tex]y\leq\frac{1}{2}x + 3[/tex] all the values the "below" the line [tex]y=\frac{1}{2}x + 3[/tex] are its solutions (because of the [tex]\leq[/tex] sign).
Together these system of inequalities have the solutions as shown in the second figure.
