3 years ago

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

Mathematics

1 answer:

vampirchik [111]3 years ago

5 0

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

<h2></h2><h2>Explanation:</h2><h2 />

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:

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