Question

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

Answers

  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 

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