Q:

(05.06)Choose the graph below that represents the following system of inequalities: (1 point)y ≥ −3x + 1y ≤ 1 over 2 x + 3

Accepted Solution

A:
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.