## 2016740e 3 years ago Which point lies in the solution set for the following system of inequalities? 2x + y < 4 x - y > 3 Answer (2, -3) (5, -2) (3, 4) (0, 0)

1. Limitless

I'm just curious. Why not compute it yourself? Put the points in. See if they work.

2. 2016740e

i did n they all come out to be false so i might doing something wrong but idk

3. Limitless

Ok. (0,0) doesn't work. You can tell that immediately. To check if a point $$(x_1,y_2)$$ works, just put it in like this: $$2x_1+y_1<4$$ and $$x_1-y_1>3$$. Here's an example: To test $$(8,9)$$ we do this: \begin{align} 2(8)+(9)&<4\\ 16+9&<4\\ 25&<4 \end{align} Since $$25$$ is not less than $$4$$, the point $$(8,9)$$ does not work. Try the other points just like this. If they work for one inequality, check the other. If they work for both, then that's the point you pick. :D

4. 2016740e

haha i got it thanks :)

5. Limitless

YAAAAYYYYYYYY WOOOHOO :D

6. 2016740e

lol :p

7. vanihba

you can try making the graph for better understanding

8. Limitless

^this, too, helps.. unless you're as lazy as I am.

9. Limitless

Heck, I visualize them more often than I do actually graph them..

10. 2016740e

i did that graph thing and i got it the same thing as i did when i plugged in the numbers

11. Limitless

You are supposed to. They represent the same thing.

12. 2016740e

yeaa ik i get what i was doing wrong