Question

Open ended: write a system of linear inequalities where the solution region lies entirely within Quadrant 1

Answer 1

2 and 63 given ,y>_2+ 1 and 7>21+1

Answer 2

given, y≥2x+1 and

y>21x−1

first, draw the graph for equations y=2x+1 and y=21x−1

for y=2x+1

substitute y=0 we get, 2x+1=0⟹x=−0.5

substitute x=0 we get, y=1

therefore, y=2x+1 line passes through (0.5,0) and (0,1) as shown in fig.

Hence, y≥2x+1 includes the region above the line.

for y=21x−1