Determine graphically the solution set for the system of inequalities and indicate whether the solution set is bounded or unbounded.
A) Unbounded
B) Unbounded
C) Unbounded

Question

Determine graphically the solution set for the system of inequalities and indicate whether the solution set is bounded or unbounded. ​ 
A) Unbounded 
B) Unbounded 
C) Unbounded

Quizplus · Accepted Answer

The system of inequalities has only two inequalities: y > -3x + 1 y < x + 4 To graph this, we first graph the two lines y = -3x + 1 and y = x + 4. These lines intersect at (1,4). Next, we need to determine which side of each line satisfies the inequality. For y > -3x+1, we shade the region above the line. For y < x + 4, we shade the region below the line. The shaded regions for each inequality overlap in a region that includes the point (1,4). Since there are no other boundary lines that constrain the solution set, the solution set is unbounded.

Determine Graphically the Solution Set for the System of Inequalities