Question

Create a systems of inequalities using the point (2,-3)

Answer 1

$\left \{ {{x+y-9}} \right.$

Explanation:

Let's take the point $(2,-3)$ and use it to create a system of inequalities. In other words, this point will be a solution to our system.

First inequality:

$x+y \ ? \ 2 \\ \\ We \ need \ to \ find \ the \ unknown \ symbol, \ so: \\ \\ Substituting \ values: \\ \\ (2)+(-3) \ ? \ 2 \\ \\ -1 \ ? \ 2 \\ \\ \\ Since \ -1 \ is \ less \ than \ 2 \ then \ our \ inequality \ becomes: \\ \\ x+y$

Second inequality:

$2x+3y \ ? \ -9 \\ \\ We \ need \ to \ find \ the \ unknown \ symbol, \ so: \\ \\ Substituting \ values: \\ \\ 2(2)+3(-3) \ ? \ -9 \\ \\ -5 \ ? \ -9 \\ \\ \\ Since \ -5 \ is \ greater \ than \ -9 \ then \ our \ inequality \ becomes: \\ \\ 2x+3y>-9$

So our system is:

$\left \{ {{x+y-9}} \right.$

Learn more:

Inequalities: brainly.com/question/12890742

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