Question

Graph the solution set of the system of inequalities:x+y>2x+y<-3

Inequalities systems and graphs
ANSWERED
asked 2021-01-13

Graph the solution set of the system of inequalities:
\(x+y>2\)
\(x+y<-3\)

Answers (1)

2021-01-14

Graph of the solution of the inequality \(x+y>2\) is the region above the line \(x+y=2\). The points on the line x+y=2 are not solutions of the inequality as it is a strict inequality.
So we draw a dotted line for the line \(x+y=2.\)
Similarly, the graph of the solution of the inequality \(x+y<−3\) is the region below the line \(x+y=−3\). The points on the line \(x+y=−3\) are not solutions of the inequality as it is a strict inequality.
So we draw a dotted line for the line \(x+y=−3\).
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