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

Answer: 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 Reply

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

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