Algebra 2

Not maybe the fastest way....but.....pick a point in the feasible region  ....let's say....(2,0)

Look at the first system.....

3(2) + 5(0) ≤ 10   

6 + 0 ≤ 10            true

-2 + 0  >  -5     true

0 - 6  >  5(-2)

-6 > -10     true

So....the point makes all  three true....so....this system is the correct one

BTW, Cupcake......another way  is to graph these inequalities and see which look like the given graph....do you know how to do this???

I find Desmos helpful....!!!!