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There are no solutions to the system of inequalities: y<-2x + 7, y>3x + 1. True or False

User Elmex
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For this case what you must do is convert the inequations into equations. Then graph both lines and see what is the set of possible solutions (if any).
The shaded region in this case represents the solution set of the inequation system.
The answer for this case is
False: There are solutions
Graphic attachment
There are no solutions to the system of inequalities: y<-2x + 7, y>3x + 1. True-example-1
There are no solutions to the system of inequalities: y<-2x + 7, y>3x + 1. True-example-2
User Aleksandr Dubinsky
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