[tex]\left \{ {{x+y<2} \atop {2x+3y>-9}} \right.[/tex]
Let's take the point [tex](2,-3)[/tex] and use it to create a system of inequalities. In other words, this point will be a solution to our system.
First inequality:
[tex]x+y \ ? \ 2 \\ \\ We \ need \ to \ find \ the \ unknown \ symbol, \ so: \\ \\ Substituting \ values: \\ \\ (2)+(-3) \ ? \ 2 \\ \\ -1 \ ? \ 2 \\ \\ \\ Since \ -1 \ is \ less \ than \ 2 \ then \ our \ inequality \ becomes: \\ \\ x+y<2[/tex]
Second inequality:
[tex]2x+3y \ ? \ -9 \\ \\ We \ need \ to \ find \ the \ unknown \ symbol, \ so: \\ \\ Substituting \ values: \\ \\ 2(2)+3(-3) \ ? \ -9 \\ \\ -5 \ ? \ -9 \\ \\ \\ Since \ -5 \ is \ greater \ than \ -9 \ then \ our \ inequality \ becomes: \\ \\ 2x+3y>-9[/tex]
So our system is:
[tex]\left \{ {{x+y<2} \atop {2x+3y>-9}} \right.[/tex]
Inequalities: https://brainly.com/question/12890742
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