Graph the solution set of the system of inequalities or indicate that the system has no solution.{(x+y>4),(x+y<-1):}

jernplate8 2020-10-21 Answered

Graph the solution set of the system of inequalities or indicate that the system has no solution.
{x+y>4x+y<1

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Expert Answer

Usamah Prosser
Answered 2020-10-22 Author has 86 answers
System of inequalities will have solutions if they have common region when we graphed them.
From the given equations of inequalities we can find that they contradict to each other.
We will check this by drawing the graph of the given inequalities.
To graph the inequalities, first we will convert them into standard equation.
x+y=4 and x+y=−1
Here, both the equations are parallel to each other.

From the graph, we can find that there is no region which is common to both.
It means that the given system of inequalities have no solutions.
Hence, given system of inequalities has no solutions.
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