Which graph shows the solution to the system of linear inequalities below? Y>-1/3x+2. Y>2x-3
Accepted Solution
A:
Answer:The graph that shows the solution to the system of linear inequalities is: Graph D.Step-by-step explanation:We are given first inequality as: [tex]y>\dfrac{-1}{3}x+2[/tex]The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (6,0) and (0,2) with shaded region away from the origin ( since it fails zero test)Second inequality is given by: [tex]y>2x-3[/tex]The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (3/2,0) and (0,-3) with shaded region away towards the origin ( since it passes zero test)On plotting it's graph we get the solution. Hence, the solution is represented by: Graph D